Mathematics and its applications
.::. Invited Lecture
1
24
Ring Theory/Commutativity and Structure of Rings and Near-rings
MOHAMMAD ASHRAF
Department of Mathematics Faculty of Science, Aligarh Muslim University, India
ABSTRACT
Research Experience: 32 years research experience in the eld of structures and
commutativity of rings, structures and commutativity of Near-rings, Rings with polynomial
identities, derivations and its various generalizations in rings, near-rings, Γ-rings, Banach
Algebras and C
∗
- algebras, Algebraic Coding Theory and Cryptography.
Research publications: 203 (Research Papers)
• Number of Papers Published: 184(see Annexure-I)
• Number of Papers Accepted for Publication: 19(see Annexure-I)
• Papers presented at conferences: 21(see Annexure-II)
• Seminars and Conferences attended: 42(see Annexure-III)
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10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
.::. Invited Lecture
2
24
Ring Theory/Commutativity and Structure of Rings
Nadeem Ur Rehman
Department of Mathematics Faculty of Science, Aligarh Muslim University, India
ABSTRACT
Research experience: 19 years
Field of interest: Ring Theory/Commutativity and Structure of Rings, Derivations on Rings & Banach Algebras, Differential Identities in rings and algebras.
M. Phil./Ph. D. supervised: 04/03
Research Projects: 04 (completed)
1. Principal Investigator of a Major Research Project "On Generalized Derivations in Rings and Their Applications" funded by University grant Commission (UGC) for three years (Grant No. 36-8/2008(SR))
2.Co-Investigator of a Major Research Project "A Study of Identities with Generalized Derivations in Rings and its Applications" funded by the Department of Science and Technology( DST) for three years (Grant No. SR/S4/MS:556/08)
3.Co-Investigator of a major research project "Derivations and related mappings in rings and algebras" supported by Slovenian-Indian joint working group on Scientific and Technological co-operation under the auspices of the Department of Science and Technology (DST), India and Ministry of Higher Education Science and Technology (MHEST), Republic of Slovenia (Grant No. INT/Slovenia/P-18/09).
4.Co-Investigator of a Major Research Project "A Study of derivations in rings & Algebras with Involution and its Applications" funded by the University Grants Commission (UGC) )( F. No. 39-37/2010(SR)) for three years (w.e.f. 01.02.2011).
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10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
3
24
Epidemic Model with Vaccination and Nonlinear Incidence Rate for Coronavirus Disease 2019 (COVID-19)
Prof. Afaf Abolfotouh Zaghrout , Dr. Youssra Sami Ahmed Ali , Doaa Khalil Elpagouri
Mathematics Department, Faculty of Science (Girls), Al-Azhar University
Mathematics Department, Faculty of Science (Girls), Al-Azhar University
Mathematics Department, Faculty of Science (Girls), Al-Azhar University
ABSTRACT
The novel coronavirus Sever Acute Respiratory Syndrome (SARS) – coronavirus-2 (CoV-2) has resulted in an ongoing pandemic and has affected over 200 countries around the world. Mathematical epidemic models can be used to predict the course of an epidemic and develop method for controlling it. In this work we proposed a mathematical model to investigate the current outbreak of the (COVID-19), and presented the dynamical behaviour of coronavirus infection by incorporating isolation class. We used both incidence rate function with five classes, (SEIQR model), Susceptible, Exposed, Infected, Isolated, and recovered persons. Our model with nonlinear incidence rate (that spread in the host population horizontally) explained the seasonal epidemic in a good way. We investigated formula to determine the Basic Reproduction Number R_0 of the virus-free equilibrium and simulated it. We discussed the stability conditions for the infected equilibrium points. Our results show that the value of R_0 completely determines the stability behaviour of the disease-free equilibrium point. We proved that it is globally asymptotically stable. The result of this analysis was simulated using MATLAB. Finally, we showed some numerical results for the proposed model.
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CSC
CHEM
GEO
BIO
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10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
4
24
On e-Reversible Rings and Their Extensions
Sabah Abdelrahman Abdelhalem Nasef , Refaat Mohammad Salem , Sarah Kamal El-Din Abdel-Aziz Gad , Ahmed kamel Elkoly
Mathematics Department, Faculty of Science (Girls), Al-Azhar University, Cairo, Egypt
Prof. Dr. at Mathematics Department, Faculty of Science , Al-Azhar University, Cairo, Egypt
Dr. at Mathematics Department, Faculty of Science (Girls), Al-Azhar University, Cairo, Egypt
Prof. Dr. at Mathematics Department, Faculty of Science (Girls), Al-Azhar University, Cairo, Egypt
ABSTRACT
We define a ring R to be right (left) e-reversible if ab = 0 implies bae = 0 (eba = 0), for a, b in R and e is an idempotent. This class of rings generalizes the class of reversible rings. We also define a ring R to be e-strongly reversible if for any a, b belong to R, ab = 0 implies bea = 0. We provide examples to show that the property of e-reversibility is not left-right symmetric and that e-reversible ring need not be e-strongly reversible. Moreover, we study some ring extensions over right (left) e-reversible rings e.g., Morita context, and Jordan construction. Finally, we devoted the last section to study matrix extensions of right (left) e-reversible rings.
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10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
5
24
Residual time of sinusoidal metachronal ciliary flow of non‑Newtonian fluid through ciliated walls: fertilization and implantation
A. Z. Zaher , A. M. A. Moawad , Kh. S. Mekheimer , M. M. Bhatti
Engineering Mathematics and Physics Department, Faculty of Engineering ‑ Shubra, Benha University, Benha, Egypt
Mathematical Department, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt
Mathematical Department, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, Shandong, China
ABSTRACT
The monitoring of the ciliated walls in the uterine tube has supreme importance in enhancing the sperm to reach the egg (capacitation processes), and at peristaltic ciliary flow has a more favorable residual time along the canal when compared to the peristaltic flow. Based on the importance of this study, a mathematical simulation of this process has been carried out by studying the behavior of a non-Newtonian magnetized fluid with a Darcy flow model with an oscillating wall having an internal ciliated surface. The governing equation is formed with Eyring-Powell fluid (tubal fallopian fluid) without using any approximations and solved using the Adomian analysis method. Using the vorticity formula, the components of the velocity function, pressure gradient, and stream function are obtained. The influence of relevant parameters is explained through diagramming and discussion. We also analyzed the residue time effects on the flow parameters. The results indicate that peristaltic ciliary flow has a more favorable residual time along the canal when compared to peristaltic flow.
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10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
6
24
Nonlinear vibration and dynamic behavior of rotating rigid hub and a flexible composite beam excited by translational motion
Professor Dr:Magdy Kamel , Professor Dr:Lamiaa Deyab , Assistance professor Dr:Hamida Shawkey , Assistance professor Dr:Hany El-Gohary , Lecture assistance : Heba Elsayed
Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menouf, Menoufia University, Egypt
Department of Mathematics, Faculty of Science, AL-Azhar University(Girl’s Branch), Egypt
Department of Mathematics, Faculty of Science, AL-Azhar University(Girl’s Branch), Egypt
Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menouf, Menoufia University, Egypt
Department of Mathematics, Faculty of Science, AL-Azhar University(Girl’s Branch), Egypt
ABSTRACT
Vibration of a thin walled composite beam built into a rigid hub performing motions of
rotation and in-plane translation is studied and analyzed. Multiple scale perturbation technique
is applied to obtain the periodic response equation near the primary resonance case in the
presence of internal resonance and Liapunov’s methods are used to examine the dynamic
stability of the steady state solution at the simultaneous resonance case. Effects of different
system parameters on the frequency response curve are studied. Through the performed study a
shift of the steady state amplitudes and the multi-valued of the bent curves are observed.
Numerical solutions are performed to validate the accuracy of the approximate results and
enabled us to obtain the jump phenomenon of the hub and the beam system. Finally, a
comparison with the papers of previously published work is reported.
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CSC
CHEM
GEO
BIO
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10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
7
24
Nonlinear vibration and dynamic behavior of rotating rigid hub and a flexible composite beam excited by translational motion
Professor Dr:Magdy Kamel , Professor Dr:Lamiaa Deyab , Assistance professor Dr:Hamida Shawkey , Assistance professor Dr:Hany El-Gohary , Lecture assistance : Heba Elsayed
Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menouf, Menoufia University, Egypt
Department of Mathematics, Faculty of Science, AL-Azhar University(Girl’s Branch), Egypt
Department of Mathematics, Faculty of Science, AL-Azhar University(Girl’s Branch), Egypt
Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menouf, Menoufia University, Egypt
Department of Mathematics, Faculty of Science, AL-Azhar University(Girl’s Branch), Egypt
ABSTRACT
Vibration of a thin walled composite beam built into a rigid hub performing motions of
rotation and in-plane translation is studied and analyzed. Multiple scale perturbation technique
is applied to obtain the periodic response equation near the primary resonance case in the
presence of internal resonance and Liapunov’s methods are used to examine the dynamic
stability of the steady state solution at the simultaneous resonance case. Effects of different
system parameters on the frequency response curve are studied. Through the performed study a
shift of the steady state amplitudes and the multi-valued of the bent curves are observed.
Numerical solutions are performed to validate the accuracy of the approximate results and
enabled us to obtain the jump phenomenon of the hub and the beam system. Finally, a
comparison with the papers of previously published work is reported.
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MATH
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CSC
CHEM
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BIO
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10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
8
24
The Formal Triangular Matrix Ring of Right N-semilocal Rings
Prof. Dr. Abdelrahman Mohamed Hassanein , Dr. Samia Mohamed Abdelwahab , Ms. Samah Hassan Saad Elbishlawy
Mathematics Department, Faculty of Science, Al-Azhar University
Mathematics Department, Faculty of Science, Helwan University
Mathematics Department, Faculty of Science, University College for Women (Art, Science and Education)
ABSTRACT
In this paper, we study the necessary and sufficient conditions for the formal triangular matrix ring, the generalized upper (or lower) triangular matrix ring to be right N-semilocal, right N-semiperfect, right N-right perfect and right N-semiprimary.
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10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
9
24
Peristaltic motion of tangent hyperbolic fluid with couple
stresses and heat and mass transfer through a porous media
under the effect of magnetic field.
N. T. Eldabe , K. A. Kamel , S. F. Ramadan
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Cairo, Egypt.
Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Nasr-City, Cairo, Egypt.
Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Nasr-City, Cairo, Egypt.
ABSTRACT
The effects of heat absorption, chemical reaction and magnetic field on peristaltic
transport of non-Newtonian tangent hyperbolic fluid with coupled stresses through
porous medium inside asymmetric channel are investigated. The system is stressed by
an external uniform magnetic field and the Soret and Dufour effects are considered
.This phenomenon is modulated mathematically by a system of non-liner partial
differential equations which govern the velocity, temperature and concentration of the
fluid .This system is solved numerically subjected to an approbate boundary conditions
using A Rung-Kutta-Merson method under assumption the long wave length and low
Reynolds number. The velocity, temperature and concentration of the fluid are
obtained as a function of the physical parameters of the problem. The effects of these
parameters on these distributions are discussed numerically and illustrated graphically
through a set of figures. It is found that these parameters play an important rule on
these distributions.
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10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
10
24
Exact Analytical Solution of BGK Kinetic Equation for a Heat Transfer in a Neutral Gas Confined Between Two Parallel Plates and Influenced by Non-linear Thermal Radiation and Strong Centrifugal Fields.
Taha Zakaraia Abdel Wahid , Fatama M. El-Malky
Assistant Professor, Mathematics Department, Faculty of Science, Menofia University, Shebin El-Kom 32511, Egypt.
Assistant Professor, Mathematics Department, Faculty of Science, Al-Azhar University for Girls, Nasr City- Cairo 11471, Egypt.
ABSTRACT
In the framework of the irreversible thermodynamics, the heat transfer problem for a rarefied gas confined between two parallel rigid porous plates in the presence of a strong centrifugal field and non-linear thermal radiation fields is investigated. The Bhatnager-Gross-Krook (BGK) model of the Boltzmann nonlinear partial differential equation is solved. The moment method is used to follow the behavior of the macroscopic properties of the gas, between the two parallel pours plane plates, such as the temperature and concentration. The entropy, entropy production, entropy flux, thermodynamic forces, and kinetic coefficients are calculated. The Boltzmann H-theorem for non-equilibrium thermodynamic properties of the system is verified. The distinction and comparisons between the perturbed and the equilibrium velocity distribution functions are illustrated. The ratios between the different contributions of the internal energy changes, based upon the total derivatives of the extensive parameters, are estimated via the Gibbs formula. The results are applied to the UF6 gas in the Uranium enrichment process. 3D-Graphics illustrating the calculated variables are drawn to predict their behavior and the results are discussed.
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10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
11
24
Peristaltic transport of Jeffry Nano-fluid with Heat and Mass transfer through non- porous meduim under the effect of heat Absorption and Chemical reaction.Darcy
Nabil T. M. Eldabe , Afaf A. Zaghrout , Shaimaa F. Ramadan , Hadeer A. Azzam
Department of Mathematics, Faculty of Education. Ain Shams university
Department of Mathematics, Faculty of science( girls), Al-Azhar university
Department of Mathematics, Faculty of science( girls), Al-Azhar university
Department of Mathematics, Faculty of science( girls), Al-Azhar university
ABSTRACT
The present paper study the peristaltic flow of non-Newtonian Jeffry Nano-fluid in a horizontal channel of flexible walls through non-darcy porous medium. The effects of non-darcy parameter, non-Newtonian parameter,heat absorption and chemical reaction in the presence of magnetic field have been reported. The governing equations are formulated and simplified under the assumption of long wave length and low Renolds number. The system of equations are solved numerically by using Rung-Kutta-Merson method with Newtonian itreation in a shooting and matching technique. The velocity, temperature and concentration distributions are obtained as a function of the physical parameters of the problem. Finally, the influences of various parameters on these distributions have been discussed numerically and explained graphically through a set of figures. Its seen that the physical parameters plays an important roles to improve the obtained solutions,so, we can control them. So for example the effects of the non-darcy parameter increases the velocity.
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10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
12
24
An Application of Fuzzy Matrices
Manar Omran
omranmanar900@yahoo.com
ABSTRACT
Fuzzy set theory plays an important role in real life and engineering problems. There are many model involving fuzzy matrices to deal with different complicated aspects. Sanchez formulated the models involving fuzzy matrices representing the knowledge. In this paper, we applied concepts from fuzzy set theory to information system; the approach used fuzzy matrices to make suitable decisions with degree.
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10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
13
24
On The Exact Analytical Solution of The Kinetic Equation with New Collision Frequency Model for a Gas Mixture Confined Between Two Parallel Plates and Influenced by Non-linear Thermal Radiation and Strong Centrifugal Fields.
Taha Zakaraia Abdel Wahid
Assistant Professor, Mathematics Department, Faculty of Science, Menofia University, Shebin El-Kom 32511, Egypt.
ABSTRACT
In the framework of the irreversible thermodynamics, the heat transfer problem for a rarefied gas mixture confined between two parallel rigid plates in the presence of a strong centrifugal field and non-linear thermal radiation fields is investigated. A new collision frequency model of the Boltzmann nonlinear partial differential equation is presented for the first time. The verification of all conservation laws, second law o thermodynamic and Boltzmann H-theorem are proved for the new model. The facility and properties introduced by the new model are discussed. The moment method is used to follow the behavior of the macroscopic properties of the gas, between the two parallel plane plates, such as temperature and concentration. All irreversible thermodynamic variables are calculated. The distinction and comparisons between the perturbed and the equilibrium velocity distribution functions are illustrated. The ratios between the different contributions of the internal energy changes are obtained. The results are applied to the UF6 gas in the Uranium enrichment process. 3D-Graphics illustrating the calculated variables are drawn to predict their behavior and the results are discussed.
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BOT
MATH
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CSC
CHEM
GEO
BIO
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10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
14
24
On an integro-differential equation of arbitrary (fractional) orders with nonlocal integral and m point boundary conditions
H. El-Owaidy , A. M. A. El-Sayed , Reda Gamal Ahmed
Al-Azhar University
Alexandria University
Al-Azhar University
ABSTRACT
In this paper, we study the existence and uniqueness of solutions for an integro-differential equation of arbitrary (fractional) orders with nonlocal integral and m point boundary conditions, continuous dependence of the solution on functional equation also will be study. An examples to prove main results.
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10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
15
24
L(3,2,1)- labeling Algorithm on Permutation Graphs
Habiba El-Zohny , Safaa Radwan , Seham Ibrahim , Zeinab Mohammed
Faculty of science, Al-Azhar university,Cairo,Egypt
Faculty of science, Al-Azhar university,Cairo,Egypt
Faculty of science, Al-Azhar university,Cairo,Egypt
Faculty of science, Al-Azhar university,Cairo,Egypt
ABSTRACT
L(3,2,1)- labeling of a graph G=(V,E) is an assignment of non- negative integers {0,1,2,………….,λ} to the set of vertices of G such that for any two vertices x and y, we have |f(x)-f(y)|≥3 if d(x,y)=1, |f(x)-f(y)|≥2 if d(x,y)=2 and |f(x)-f(y)|≥1 if d(x,y)=3, where d(x,y) represents the minimum number of edges along the path from x to y. In this article, L(3,2,1)- labeling on permutation graphs is defined with an upper bound of L(3,2,1)- labeling number denoted by λ_3,2,1 (G) equals 3(n-1), where n is the number of vertices of G. Also algorithms to L(3,2,1)- labeling of the permutation graph has O(n^2) time complexity are designed. The upper bound for λ_3,2,1 (G) if G is a complete permutation graph is 3∆ according to algorithm 1, and 3∆+1 according to algorithm 2 where ∆ is the maximum degree of the vertices of G.
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10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
16
24
Distributed control for non-cooperative systems under conjugation
conditions. A complicated thin inclusion case
H. M. Serag , L. M. Abd-Elrhman , A. A. Alsaban
Department of Mathematics, Faculty of Science, (for boys), Al-Azhar University, Nasr City (1554), Cairo, Egypt.
Department of Mathematics, Faculty of Science, (for girls), Al-Azhar University, Nasr City, Cairo, Egypt.
Department of Mathematics, Faculty of Science, Ibb University, Ibb, Yemen.
ABSTRACT
Under conjugation conditions (a complicated thin inclusion case) The distributed control for 2x2 non-cooperative elliptic systems involving Laplace operator are considered. First, the existence and uniqueness of the state for Dirichlet problem is proved,then the set of equations and inequalities which necessary for optimality that characterizes the distributed control of these systems is obtained.
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10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
17
24
On some reverse dynamic inequalities of Hardy-type on time scales
A. A. El-Deeb
Al-Azhar University, Faculty of Science, Department of Mathematics
ABSTRACT
In this article, we will obtain some new reverse dynamic inequalities of Hardy-type on time scales. The main results will be derived using Fubini’s theorem and the chain rule on time scales. We will apply the main results to the continuous and discrete cases to obtain new integral and discrete inequalities of Hardy-type.
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10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
18
24
Another Generalization of Contra Continuity Via Lambda-Closed Sets
Arafa. A. Nasef , A. Fathy
Department of Physics and Engineering Mathematics, Faculty of Engineering , Kafrelsheikh University.
Department of Mathematics, Faculty of Science, Al-Azhar University.
ABSTRACT
The notion of Lambda-closed set was introduced by Rajesh [1]. In this paper, we
introduce the notion of a contra Lambda-continuous map and discuss some of its basic
properties. Also, we introduce the notions of Lambda-T2 and Lambda-connected spaces
and discuss some of their basic properties. On the other hand, we introduce and
investigate the Lambda-closed sets in the product space.
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MATH
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CSC
CHEM
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10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
19
24
A New Collection of Contra Continuity Via Ideals
Arafa. A. Nasef , A. Fathy
Department of Physics and Engineering Mathematics, Faculty of Engineering , Kafrelsheikh University.
Department of Mathematics, Faculty of Science, Al-Azhar University.
ABSTRACT
In this paper, we apply the notion of Gamma I-open sets in the ideal topological spaces to introduce and study the notion of contra Gamma I-continuous maps.
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MATH
STA
CSC
CHEM
GEO
BIO
ASM
PHY
10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
20
24
Epidemic Model with Vaccination and Nonlinear Incidence Rate
Prof. Afaf Abolfotouh Zaghrout , Dr. Youssra Sami Ahmed Ali , Doaa Khalil Elpagouri
Mathematics Department, Faculty of Science (Girls), Al-Azhar University
Mathematics Department, Faculty of Science (Girls), Al-Azhar University
Mathematics Department, Faculty of Science (Girls), Al-Azhar University
ABSTRACT
In this paper we formulated an SEIV (Susceptible, Exposed, Infected, and Vaccinated individuals) epidemic model with nonlinear incidence rate (that spread in the host population horizontally), which describes the psychological effect of certain serious diseases on the community and waning preventive vaccine. First, we investigated formula to determine the Basic Reproduction Number R_0 of the disease free equilibrium and simulated it. We discussed the stability conditions for the infected equilibrium points. Our results show that the value of R_0completely determines the stability behaviour of the disease-free equilibrium point. We proved that it is globally asymptotically stable. We also found, studied and analyzed the epidemic free equilibrium. The result of this analysis was simulated using MATHLAB and we observed that it is stable on probability points of the vaccine waning period 2.0 down to 1.1 and unstable on the point 1.0, which is when the vaccine efficacy decreases the stability of the model also decrease. Finally, we showed some numerical results for the proposed model.
Code
BOT
MATH
STA
CSC
CHEM
GEO
BIO
ASM
PHY
10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
21
24
Epidemic model with nonlinear incidence rate and three-infectious individual classes
Prof. Afaf Abolfotouh Zaghrout , Dr. Youssra Sami Ahmed Ali , Nadra Samir Abdelhameed
Mathematics Department, Faculty of Science (Girls), Al-Azhar University
Mathematics Department, Faculty of Science (Girls), Al-Azhar University
Mathematics Department, Faculty of Science (Girls), Al-Azhar University
ABSTRACT
In this paper we formulate the epidemic model that describes the dynamics of the spread of infectious transmission in the host population. This epidemic model combines three classes of infectious individuals with different infectivity and the nonlinear incidence rate. We investigated the basic reproductions number. We found that this model has two equilibrium points, one of them is free-equilibrium point and the other is endemic equilibrium point. By analyzing the existence and stability of the equilibria, we observed that the disease-free equilibrium is globally asymptotically stable when the basic reproduction number R_0 is less than or equal unity, that is the disease dies out. While the endemic equilibrium point is locally asymptotically stable when the reproduction number is more than unity. The local and global stability for all possible equilibria are carried out with the help of Lyapunov function and LaSalle’s invariant principle. The global stability of the endemic equilibrium is dicussed.
Code
BOT
MATH
STA
CSC
CHEM
GEO
BIO
ASM
PHY
10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
22
24
The Unsteady Kinetic Couette Flow of Gaseous Plasma Between Two Coaxial Rotating Rigid Circular Cylinders.
Taha Zakaraia Abdel Wahid , Ibrahim E. Ibrahim
Department of Mathematics & Computer Science, Faculty of Science, Menoufia University, Shebeen El-Koom 32511, Egypt.
Department of Mathematics & Computer Science, Faculty of Science, Menoufia University, Shebeen El-Koom 32511, Egypt.
ABSTRACT
A kinetic theory treatment of the Couette flow of gaseous plasma between two coaxial rotating circular rigid cylinders is considered. The BGK (Bhatnagar-Gross-Krook) kinetic model is solved using the small parameters perturbation method coupled with the moments' method with a two-stream Maxwellian distribution function. The initial-boundary value problem of the Couette flow problem applied to the plasma (positive ions + electrons+ neutral atoms), confined between two rotating cylinders, is solved. The effect of the collisions of the electrons with other electrons, with positive ions, and with neutral atoms is taken into consideration, which was ignored in previous similar papers for the sake of facilitation. Thus, we will have three-collision terms (electron-electron, electron-ion, electron-neutral atoms) instead of one term, as was studied before. Those collision terms are needed to acquire the real physical situation. The new procedures will increase the ability of the research applications. The relations between the various macroscopic properties of the plasma gas, such as the velocity, shear stress, viscosity coefficient, magnetic, and electric induced fields, are investigated. The irreversible thermodynamics properties of the entire system are presented. The entropy, entropy flux, entropy production, kinetic coefficients, and thermodynamic forces are estimated. Our model coincided with Boltzmann H-theorem, the second law of thermodynamics, and Onsager's reciprocity relation. The various participation in the internal energy change of the entire system was introduced.
Code
BOT
MATH
STA
CSC
CHEM
GEO
BIO
ASM
PHY
10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
23
24
Some Generating Functions for Bessel Function by Using Lie Theoretic Method
T. I. Sultan
Math. Dept., Fac. of Sc., Al-Azhar University, Nasr City (11884), Cairo, Egypt
ABSTRACT
This paper is an attempt is made to obtain Generating functions of modified Bessel Function. We can find number of generating functions for various special function and orthogonal polynomials by the application of group-theoretic method introduced by Louis Weisner. The process may also lead to some new generating functions for corresponding special functions. Bessel function and orthogonal polynomials have special importance in engineering, sciences and constitute good model for many systems in various fields.
Code
BOT
MATH
STA
CSC
CHEM
GEO
BIO
ASM
PHY
10th International Scientific Conf.
Basic Sciences and its Applications
30 March – 1 April, 2020
Cairo, Egypt
المؤتمر العلمي الدولي العاشر
العلوم الأساسية وتطبيقاتها
2020
ابريل
1
-
مارس
30
القاهرة ـ جمهورية مصر العربية
Mathematics and its applications
24
24
A CONVEX MINIMUM FUZZY COST FLOW PROBLEM
WITH FUZZY TIME WINDOWS
Nasser A. El-Sherbeny
Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt
ABSTRACT
The Minimum Cost Flow Problem (MCFP) is one of the classic combinatorial optimization and an NP-hard problem with many applications in logistic networks and communication networks. In this paper, we present a new version of the Minimum Cost Flow Problem (MCFP). This version is a Convex Minimum Fuzzy Cost Flow Problem with Fuzzy Time- Windows (CMFCFPFTW). Given a directed graph G=(V.E), where V is a set of vertices, E is a set of edges. Each vertex v_i∈V has a fuzzy time-window [a ̃_(v_i ).b ̃_(v_i ) ]. Each edge e_(v_i v_j )=(v_i.v_j )∈E is associated with three non-negative parameters: a fuzzy capacity u ̃_(〖v_i v〗_j ), an arbitrary transit fuzzy cost c ̃_(〖v_i v〗_j ) and a transit fuzzy time t ̃_(〖v_i v〗_j )∈(T.) ̃ i≠j;i.j=1.….n. In this version, we derive the optimality conditions for minimizing convex fuzzy cost functions which satisfy a condition of the fuzzy time-windows, and devise an algorithm based on the primal-dual algorithm commonly used in linear programming. The proposed algorithm minimizes the total convex fuzzy cost of a fuzzy flow by incrementing the network fuzzy flow along augmenting paths of minimum fuzzy cost from the source vertex s to the sink vertex ρ.
