International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Differential Equation and Applications.
1
SAT: 30-12-2017 Hall[C] Oral - Sec14 ( 1 )  
08:45 : 09:00
 
DEA - 2 NG Mr. Abdurrahman Abdulhamid farkeminjibir@gmail.com
 
14
  Backward Bifurcation in Lassa Fever Model  
  Abdurrahman Abdulhamid , Kabiru Muhammad  
 
Department of Statistics, Kano State Polytechnic, P.M.B. 3401, Kano, Nigeria.
Department of Statistics, Kano State Polytechnic, P.M.B. 3401, Kano, Nigeria.
 
  ABSTRACT  
  A Mathematical Model for Lassa which incorporates quarantine and re-infection was developed for the control of Lassa fever epidemic. The basic reproduction number is calculated and it is shown that the model exhibits the phenomenon of backward bifurcation where a stable endemic equilibrium coexists with a stable disease-free equilibrium when the associated reproduction number is less than unity. This phenomenon has epidemiological implication which shows the classical requirement of the associated reproduction number to be less than unity does not guarantee control of the disease. Sensitivity and uncertainty analysis were carried out to access the importance of each parameter of the model.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Differential Equation and Applications.
2
SAT: 30-12-2017 Hall[C] Oral - Sec14 ( 2 )  
09:00 : 09:15
 
DEA - 4 US Prof. Gamal Elnagar gelnagar@uscupstate.edu
 
14
  Integro-Differential Functional Operator Control Systems:A Spectral Approach  
  Gamal N. Elnagar  
 
University of South Carolina
 
  ABSTRACT  
  The spectral methods of G. N. Elnagar, which yield spectral convergence rate for the approximate solutions of Fredholm and Volterra-Hammerstein integral equations, is generalized in order to solve the larger class of integro-differential functional operator control systems with spectral accuracy. The proposed method is based on the idea of relating spectrally constructed grid points to the structure of projection operators which will be used to approximate the control vector and the associated state vector. These projection operators are spectrally constructed using Lagrange polynomials as trial functions. Due to its dynamic nature, the proposed method avoids many of the numerical difficulties typically encountered in solving standard integro-differential functional equation control systems. An illustrated example is included to confirm the efficiency and applicability of the proposed method.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Differential Equation and Applications.
3
SAT: 30-12-2017 Hall[C] Oral - Sec14 ( 3 )  
09:15 : 09:30
 
DEA - 5 NG Mr. Abdurrahman Abdulhamid farkeminjibir@gmail.com
 
14
  AN ANALYTIC SOLUTION OF SIMPLIFIED MATHEMATICAL MODEL OF EQUATION OF CONTINUITY (CONSERVATION OF FLOW EQUATION).  
  Abdurrahman Abdulhamid , Kabiru Muhammad , Zahraddeen Abdullahi  
 
Department of Statistics, Kano State Polytechnic, P.M.B. 3401, Kano, Nigeria.
Department of Statistics, Kano State Polytechnic, P.M.B. 3401, Kano, Nigeria.
Department of Statistics, Kano State Polytechnic, P.M.B. 3401, Kano, Nigeria.
 
  ABSTRACT  
  Abstract An analytic method of solving a partial differential equation (PDE) obtained from a modeled equation of continuity (conservation of flow equation) using integral transform method was proposed. The analysis of the equation was carried out with regards to the distance along road (x), time (t) and traffic flow (k). Whereas density of traffic (k0) and velocity (u) values were varied to asses how the vehicular flux changes in the study, one after the other keeping the rest fixed in order. The solution of the problem was discussed after analyzing the effect of the parameters on the traffic flow and graphs were presented to illustrate the exactness of the analytical solution where the behaviour of the traffic flux changes with distance for different initial densities and changes with distance for different initial velocities.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Differential Equation and Applications.
4
SAT: 30-12-2017 Hall[C] Oral - Sec14 ( 4 )  
09:30 : 09:45
 
DEA - 6 EG Assoc.Prof. Wael Mohammed wael.mohammed@mans.edu.eg
 
14
  Effect of the same degenerate additive noise on a coupled system of reaction-diffusion equations  
  Wael W. Mohammed  
 
Department of Mathematics, Faculty of Science, Hail University, Saudi Arabia
 
  ABSTRACT  
  In this paper we present a class of stochastic system of reaction-diffusion equations. Our aim of this paper is to approximate the solutions for the system via amplitude equation with Neumann boundary conditions. We are interested on a systems that have nonlinear polynomial and give applications as Lotka-Volterra system and from chemistry the Brusselator model for the Belousov-Zhabotinsky chemical reaction to illustrate our results.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Differential Equation and Applications.
5
SAT: 30-12-2017 Hall[C] Oral - Sec14 ( 5 )  
09:45 : 10:00
 
DEA - 7 EG Dr. Ahmed El-Deeb ahmedeldeeb@azhar.edu.eg
 
14
  Diamond-Alpha Steffensen's Inequality on Time Scales  
  A. A. El-Deeb  
 
Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.
 
  ABSTRACT  
  In this paper, we prove some new Steffensen-type inequalities on time scales via the diamond-alpha dynamic integral, which is defined as a linear combination of the delta and nabla integrals. These inequalities extend some known dynamic inequalities on time scales and also unify some continuous inequalities and their corresponding discrete analogues.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Differential Equation and Applications.
6
SAT: 30-12-2017 Hall Sec Poster (03) ( 1 )  
01:15 : 02:45
 
DEA - 1 EG Dr. maha hamed maha_hamed8@yahoo.com
 
14
  A Comparison Study Between the Two Wiener-Ito Expansions In Solving Stochastic Differential Equations  
  Maha Hamed , Ibrahim Al-Kalla , Mohamed El-Beltagy , Beih El-desouky  
 
Department of Mathematics, Faculty of Science, Mansoura University,Mansoura. Egypt
Engineering Mathematics and Physics Dept, Faculty of Engineering, Mansoura University, Mansoura, Egypt.
Engineering Mathematics and Physics Dept, Faculty of Engineering, Cairo University,Giza, Egypt.
Department of Mathematics, Faculty of Science, Mansoura University,Mansoura. Egypt
 
  ABSTRACT  
  In this paper, the two known Wiener-Ito expansions are compared. The methodology, performance and convergence of the two expansions are shown. The two expansions are used in solving linear and nonlinear stochastic differential equations (SDEs). The first expansion, known also as Wiener-Hermite Expansion (WHE), is truncated only in one parameter, order, but it is more difficult to handle. The second expansion, known also as Wiener-Chaos Expansion (WCE), is truncated in two parameters, order and dimension, but it is more easier. The two expansions are shown to be powerful tools when the Gaussian and/or non-Gaussian solutions are intended.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Differential Equation and Applications.
7
SAT: 30-12-2017 Hall Sec Poster (03) ( 2 )  
01:15 : 02:45
 
DEA - 3 EG Dr. Sheren Abd El salam shrnahmed@yahoo.com
 
14
  On two general nonlocal problems of an arbitrary (fractional) orders differential equations  
  Sheren Ahmed , Fatma Gaafar  
 
Lecturer
Assistant Professor
 
  ABSTRACT  
  In this paper, we prove some local and global existence theorems for a fractional orders differential equations with nonlocal conditions, also the uniqueness of the solution will be studied.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Differential Equation and Applications.
8
SAT: 30-12-2017 Hall Sec Poster (03) ( 3 )  
01:15 : 02:45
 
DEA - 8 DZ Dr. REZZOUG Imad imadrezzoug@gmail.com
 
14
  Approximate Controllability for the Parabolic Equations  
  REZZOUG Imad , AYADI Abdelhamid  
 
OUM EL BOUAGHI UNIVERSITY. ALGERIA
OUM EL BOUAGHI UNIVERSITY. ALGERIA
 
  ABSTRACT  
  In this intervention, we study an approximate controllability problem. This problem appears naturally of approximate sentinel. The main tool is a theorem of uniqueness of the solution of ill-posed Cauchy problem for the parabolic equations.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Differential Equation and Applications.
9
SAT: 30-12-2017 Hall Sec Poster (03) ( 4 )  
01:15 : 02:45
 
DEA - 11 EG Assoc.Prof. Usama Abdelsalam maths_us@hotmail.com
 
14
  Exact solutions for coupled nonlinear partial differential equations using G'/G method  
  U.M. Abdelsalam  
 
Department of Mathematics, Faculty of Science, Fayoum University, Egypt.
 
  ABSTRACT  
  (G'/G)-expansion method is examined to solve the Boiti–Leon–Pempinelli (BLP) system and the (2 + 1)-dimensional breaking soliton system. The results show that this method is a powerful tool for solving systems of nonlinear PDEs., it presents exact travelling wave solutions. The obtained solutions include rational, periodical, singular, shock wave and solitary wave solutions.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Differential Equation and Applications.
10
SAT: 30-12-2017 Hall Sec Poster (03) ( 5 )  
01:15 : 02:45
 
DEA - 13 EG Ms. Ghada Elmahdy ghada.elmahdy91@gmail.com
 
14
  Analytical solutions of fractional Huxley equation by residual power series method  
  Dr. Anas Arafa , Ghada Elmahdy  
 
Department of Mathematics and Computer Science, Faculty of Science, Port Said University
Department of Mathematics and Computer Science, Faculty of Science, Port Said University
 
  ABSTRACT  
  This paper investigates the approximate solution of nonlinear Huxley equation using new analytic technique. The solution was calculated in the form of a convergent power series with easily computable components. The proposed method obtains Taylor expansion of the solution and reproduces the exact solution when the solution is polynomial.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Differential Equation and Applications.
11
SAT: 30-12-2017 Hall[C] Oral - Sec17 ( 1 )  
04:00 : 04:15
 
DEA - 9 AE Prof. Fathalla Rihan frihan@uaeu.ac.ae
 
14
  An Inverse Problem for Delay Differential Equations in Biological Systems with Memory  
  Fathalla A. Rihan  
 
Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al-Ain 15551, UAE
 
  ABSTRACT  
  In this talk, we present the theoretical framework to solve inverse problems for Delay Differential Equations (DDEs). Given a parameterized DDE and experimental data, we estimate the parameters appearing in the model, using least squares approach. Some issues associated with the inverse problem, such as nonlinearity and discontinuities which make the problem more ill-posed, are studied. Sensitivity and robustness of the models to small perturbations in the parameters, using variational approach, are also investigated. The sensitivity functions may provide guidance for the modelers to determine the most informative data for a specific parameter, and select the best fit model. The consistency of delay differential equations with bacterial cell growth is shown by fitting the models to real observations.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Differential Equation and Applications.
12
SAT: 30-12-2017 Hall[C] Oral - Sec17 ( 2 )  
04:15 : 04:30
 
DEA - 10 EG Dr. shaimaa salem shaimaasalem_math@yahoo.com
 
14
  Oscillation Theorems for Nonlinear Differential Equations of Third-Order  
  M. M. A. El-Sheikh , R. Sallam , S. Salem  
 
Menoufia University
Menoufia University
Menoufia University
 
  ABSTRACT  
  The aim of this paper is to study the oscillatory behavior of solutions of the third order neutral differential equation (a(t)[z′′(t)]^{γ})′+∑_{i=1}^{m}f_{i}(t,x(σ_{i}(t)))=0, t≥t₀, where z(t)=x(t)+∑_{j=1}ⁿp_{j}(t)x(τ_{j}(t)), m,n are positive integers, γ≥1 is a ratio of two odd positive integers and τ_{i}(t)≤t for i=1,2,..,m. A new criteria guarantees that every solution is either oscillatory or tends to zero are established. The obtained results improve some known results in the literature. Some examples are given to illustrate our results.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Differential Equation and Applications.
13
SAT: 30-12-2017 Hall[C] Oral - Sec17 ( 3 )  
04:30 : 04:45
 
DEA - 12 EG Dr. Samah El-kholy samah.elkhouli1@eng.kfs.edu.eg
 
14
  Discrete spline Numerov method for solving Swift-Hohenberg equation  
  W. K. Zahra , S. M. Elkoly  
 
Department of Engineering Physics and Mathematics, Faculty of Engineering, Tanta University, Tanta, Egypt and Department of Mathematics, Basic and Applied Sciences School, Egypt-Japan University of Science and Technology, New Borg El-Arab City, Alexandria, 21934, Egypt
Department of Engineering Physics and Mathematics, Faculty of Engineering, Kafr El Sheikh Univ., Egypt
 
  ABSTRACT  
  Discrete spline function based method is developed to solve the time fractional Swift-Hohenberg equation in the sense of Riemann Liouville derivative. Via Fourier method, the developed method is convergent and unconditionally stable. Numerical results are demonstrated to confirm the applicability and the theoretical results.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Differential Equation and Applications.
14
SAT: 30-12-2017 Hall[C] Oral - Sec17 ( 4 )  
04:45 : 05:00
 
DEA - 14 EG Dr. Samir Saker shsaker@mans.edu.eg
 
14
  Gehring Dynamic Inequalities and Higher Integrability Theorems  
  Sami H. Saker  
 
Prof. Math. Department of Mathematics, Faculty of Science, Mnsoura University, Egypt
 
  ABSTRACT  
  In this talk I will present new dynamic inequalities based on the application of the time scale version of Hardy's type inequality on a finite interval [a,b]_{T} where T is a time scale. Next, we will speak about Gehring's type inequalities on time scales by employing the obtained inequality. As an application of Gehring inequalities, we will prove some interpolation. Next, we will prove a dynamic inequality of Shum's type on a time scale T. The proof is new and different from the proof due to Shum. [Canad. Math. Bull. 14 (1971), 225-230]. Next, we prove some new integrability theorems which as a special case, when T=R, contain the results due to Muckenhoupt [Tran. Amer. Math. Soc. 165 (1972), 207-226] and the results due to Bojarski, Sbordone and Wik. [Studia Mat. VII, 10 (1992), 155-163]. By employing theorems, we will prove a higher integrability result which proves that the space L_{Δ}^{q}(0,T]_{T} of nonincreasing functions will be in the space L_{Δ}^{p}(0,T]_{T} for p>q. The results contain, as a special case, the integrability results due to Alzer [J. Math. Anal. Appl. 190 (1995), 774-779]. When T=N our results are essentially new and can be applied on different types of time scales. 2010 Mathematics Subject Classification: 26D15, 34A40, 34N05, 39A12.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
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