List of Abstracts



  1. Title: Introduction to Network Science

    Author Information

    NameProf. E. Ahmed and M. Awad
    University/InstituteFaculty of Science Mansoura University
    Emailmagd54@gmail.com

    Abstract:

    Network science is currently a hot topic (Notices AMS, September 2014, page 868). Recent developments have shown clearly that most realistic systems do not work in isolation, e.g., epidemics. I believe that this way of thinking should be taught to senior undergraduate students. Fractional order dynamics is presented on graphs. Also it is argued that fractals are expected in extreme events.


  2. Title: NON-LOCAL THEORIES OF CONTINUUM MECHANICS. APPLICATION TO FRACTIONAL ORDER DERIVATIVES

    Author Information

    NameProf. Ahmed Ghaleb
    University/InstituteFaculty of Science Cairo University
    Emailafghaleb@gmail.com

    Abstract:

    The nonlocal theories of Continuum Mechanics provide an important field of application for fractional derivatives. Non-locality in time yields what we call materials with memory. In this presentation, we try to trace back the main achievements in the non-local theories of Continuum Mechanics, mainly in the field of Viscoelasticity. It is the purpose of the presentation to enlighten the fact that fractional derivatives are not a matter of pure formalism, but they find genuine applications in practice.


  3. Title: GENERALIZED REFLEXIVE MATRICES: SPECIAL PROPERTIES, APPLICATIONS AND REFLEXIVE SOLUTIONS MATRIX SOLUTIONS

    Author Information

    Name Prof. Mohamed Abdel-Latif Ramadan
    University/InstituteFaculty of Science, Menoufia University, Shebeen El- Kom, Egypt
    Emailmramadan@eun.eg; ramadanmohamed13@yahoo.com

    Abstract:

    The main purpose of this talk is first to introduce the definition of generalized reflection matrices and explore some structure properties of them. Secondly, two classes of rectangular matrices, namely generalization of reflexive (ant-reflexive) matrices will be introduced where their definitions and properties will be exploited. Third, we demonstrate how to take advantage of the special properties of these matrices for handling linear least-squares problems. Finally, equivalent statements for reflexive solutions of linear matrix equations and solutions of induced linear matrix equations will be presented.


  4. Title: On the oscillation of solutions of nonlinear dynamic equations on time scales

    Author Information

    NameProf. M.M.A.El-Sheikh
    University/InstituteFaculty of Science, Menoufia University, Shibin El-Koom, Egypt
    Emailmsheikh-1999@yahoo.com

    Abstract:

    The oscillatory behavior of solutions of nonlinear dynamic equations on time scales is discussed. New sufficient conditions guarantee the oscillation of the solutions are given. Some known restrictions in the literature are relaxed. The given results help in improving and unifying the theories of differential equations and difference equations. Numerical examples are given to justify our obtained results.


  5. Title: Multi-Qubit Systems Interacting with Nonoresonators

    Author Information

    NameProf. Mahmoud Abdel-Aty
    University/InstituteZewail City of Science and Technology, Faculty of Science, Sohag niversity, Egypt
    Emailamisaty@gmail.com

    Abstract:

    In this communication we discuss different aspects of multi-qubit system. Information dynamics of charge qubits coupled to a nanomechanical resonator under influence of both a phonon bath in contact with the resonator and irreversible decay of the qubits is considered. The focus of our analysis is devoted to multi-particle entanglement and the effects arising from the coupling to the reservoir. Even in the presence of the reservoirs, the inherent entanglement is found to be rather robust. Due to this fact, together with control of system parameters, the system may therefore be especially suited for quantum information processing. Our findings also shed light on the evolution of open quantum many-body systems. For instance, due to intrinsic qubit-qubit couplings our model is related to a driven XY spin model


  6. Title: On Complete Integrability, Exact Solvability of the Fractional NonLinear Schrodinger Equation And Distributed Delay Effects

    Author Information

    NameProf. H. I. Abdel-Gawad
    University/InstituteFaculty of Science Cairo University Egypt
    Emailhamdyig@yahoo.com

    Abstract:

    It is shown that the fractional space-time nonlinear Schrodinger equation FNLSE it is not completely integrable or exactly solvable. It is found that the time-FNLSE is exactly solvable against traveling or self-similar solutions. The traveling wave equation is shown to be completely integrable. In this later case, it is found that the traveling waves are slowing down due to the distributed time delay and the frequency of periodic waves is remarkably attenuated. For small fractional time derivative, the main characteristics along them waves progress are changed significantly.


  7. Title: The Effect of Numerical Techniques on Differential Equation Based Chaotic Generators

    Author Information

    NameProf. Ahmed G. Radwan
    University/InstituteEngineering Mathematics and Physics Dep., Faculty of Eng., Cairo University, Egypt, Nanoelectronics Integrated Systems Center (NISC), Nile University, Egypt
    Emailahmedgom@yahoo.com

    Abstract:

    In this paper, we study the effect of the numerical solution accuracy on the digital implementation of differential chaos generators. Four systems are built on a Xilinx Virtex 4 FPGA using Euler, mid-point, and Runge-Kutta fourth order techniques. The twelve implementations are compared based on the FPGA used area, maximum throughput, maximum Lyapunov exponent, and utocorrelation confidence region. Based on circuit performance and the chaotic response of the different implementations, it was found that less complicated numerical solution has better chaotic response and higher throughput.


  8. Title: Numerical Studies for the Multi-Strain Tuberculosis Model

    Author Information

    NameProf. Nasser Sweilam
    University/InstituteFaculty of Science, Cairo University
    Emailnsweilam@sci.cu.edu.eg

    Abstract:

    In this talk, numerical studies for the multi-strain Tuberculosis (TB) model, that incorporates three strains, i.e., drug-sensitive, emerging multi-drug resistant (MDR) and extensivelydrug-resistant (XDR), which developed by J. Arino and I. soliman (2014), are introduced. The adopted model is described by a system of nonlinear ordinary differential equations(ODEs). Special class of numerical methods, known as nonstandard finite difference method (NSFDM) is introduced. The obtained results of using NSFDM are compared with other known numerical methods such as implicit Euler method and fourth-order Runge- Kutta (RK4) method. Also, the fractional order multi-strain TB model (FOTBM) as a novel model is presented . The fractional derivative is defined in the sense of Grnwald-Letinkov definition. Two numerical methods are presented to study this model, the standard finite difference method (SFDM) and NSFDM. The stability of equilibrium points is studied. As an extension of FOTBM, the variable-order fractional multi-strain TB model (VOFTBM) is presented. The variable-order fractional derivative is defined in this sense of Grnwald-Letinkov definition. Two numerical methods are presented for this model, SFDM and NSFDM. The stability of equilibrium points is studied. Finally, The optimal control for multi strain TB model is presented. TB control problem is formulated and studied theoretically using the Pontryagin maximum principle. Different optimal control strategies are proposed to minimize the cost of interventions.


  9. Title: Mild and strong solution to some nonlinear fractional evolution equations with nonlocal conditions.

    Author Information

    NameProf. Mohamed Herzalla
    University/InstituteFaculty of Science Zagazig University
    Emailm-herzallah75@hotmail.com

    Abstract:

    -


  10. Title: Common Fixed Point Theorems in Generalized Metric Spaces

    Author Information

    NameProf. M. A. Ahmed and H. A. Nafadi
    University/InstituteFaculty of Science, Assiut University
    Emailmahmed68@yahoo.com, hatem9007@yahoo.com

    Abstract:

    The purpose of this paper is to prove some common fixed point theorems in generalized metric spaces. We give an integral contractive condition with implicit relation. These theorems generalize corresponding previous results.


  11. Title: Nonlinear Conjugate Gradient Methods for the Output Feedback Pole Assignment Problem

    Author Information

    NameProf. El-Sayed M.E. Mostafa
    University/InstituteFaculty of Science, Alexandria University
    Emailemostafa200@gmail.com

    Abstract:

    In this work we propose three nonlinear conjugate gradient methods for solving the output and state feedback pole assignment problems. Global convergence of the proposed algorithms is established under standard assumptions. Moreover, the methods are extended to tackle the output feedback pole assignment problem for decentralized control systems. Numerical results illustrate the performance of the proposed methods.


  12. Title: Mathematical Modeling and Controller Comparison for Quarter Car Suspension System by Using PID and Fuzzy Logic

    Author Information

    NameProf. Abd El-Nasser Sharkawy Ahmed Mahmoud
    University/InstituteQena, Egypt
    Emailabdelnasser.sherkawy@yahoo.com

    Abstract:

    The objectives of this study are to obtain a mathematical model for the passive and active suspensions systems for quarter car model and construct an active suspension control for a quarter car model subject to excitation from a road profile using FUZZY controller.


  13. Title: Existence of a unique solution of a coupled system of integro-differential equations with nonlocal conditions

    Author Information

    NameAshwaq Abbas Hilal
    University/InstituteFaculty of Science, Zagazig University.
    Emailashwaq540@yahoo.com

    Abstract:

    In this paper we study the existence of a unique solution for a boundary value problem of a coupled system of integro-differential equations under some certain conditions.


  14. Title: Argument Estimates Of Certain Meromorphiclly Mulivalent Functions Assoicated With The Multiplier Transformation

    Author Information

    NameProf. E. E. Ali, R. M. El-Ashwah and M. K. Aouf
    University/InstituteFaculty of Science Port-Said University
    Emailekram-008eg@yahoo.com

    Abstract:

    The object of this paper is to obtain some argument properties of meromorphically multivalent functions associated with the multiplier transformation. We also derive the integral preserving properties in a sector.


  15. Title: On a coupled system of functional integral equations of Urysohn type

    Author Information

    NameNagat Saad Aziz
    University/InstituteFaculty of Science, Alexandria University
    Emailaziza.abdelmwla@yahoo.com

    Abstract:

    In this paper we shall study some existence theorems of solutions for a coupled system of functional integral equations of Urysohn type.


  16. Title: On a nonlocal boundary value problem of a coupled system of functional integro-differential equations

    Author Information

    NameYusri Noaman Sabea
    University/InstituteFaculty of Science, Zagzig University
    Emailysrabrahim@gmail.com

    Abstract:

    In this paper we study the existence of a unique solution for the nonlocal boundary-value problem of a coupled system of Fredholm functional integro-differential equations.


  17. Title: On a two (nonlocal) point boundary value problem of arbitrary (fractional) orders integro-differential equation

    Author Information

    Name Wisam Ahmed Hamad
    University/InstituteFaculty of Science, Zagazig University
    Emailwisamahmed32@gmail.com

    Abstract:

    As an application we study the existence of solution of a two (nonlocal) point boundary value problem of arbitrary (fractional) orders integro-differential equation


  18. Title: Finiteness Property of Deformed Revolution Surfaces in E3

    Author Information

    NameProf. M. A. Soliman, H. N. Abd-Ellah, S. A. Hassan and Souraia Q. Saleh
    University/InstituteFaculty of Science, Assiut University
    Emailhamdy-n2000@yahoo.com, saodali@ymail.com, souria.qasem@yahoo.com

    Abstract:

    The main goal of this paper, is to study the finiteness property of the mean and Gaussian curvatures flow for the revolution surfaces in E3. Finally, general examples for such property are provided.


  19. Title: Some sandwich results of analytic functions defined by convolution operator

    Author Information

    NameProf. Tamer M. Seoudy
    University/InstituteFaculty of Science, Fayoum University, Fayoum 63514, Egypt.
    Emailtms00@fayoum.edu.eg

    Abstract:

    In this paper, we obtain some applications of differential subordination and superordination results involving convolution operator and other linear operators for certain normalized analytic functions. Some of our results generalize previously known results.


  20. Title: Kinetic and Thermodynamic Treatment for the Unsteady Rayleigh Flow Problem of a onecomponent plasma

    Author Information

    NameProf. Taha Zakaraia Abdel Wahid
    University/InstituteOctober High Institute for Engineering and Technology, 6th October City, Giza, Egypt.
    Emailtaha-zakaraia@yahoo.com

    Abstract:

    This article presents an enhanced solution of the previous paper [J. Non-Equilibrium Thermodynamic, 37 (2012), 119141]. For this purpose, the displacement current term in the Maxwellís equations did not neglected as done in the earlier study. The term represented the effect of the positive ions in the Boltzmannís equation is taking into considerations. The enhanced solution give the research more reality and additional several applications. In the present work, the kinetic and the irreversible thermodynamic properties of the one-component plasma are presented from the molecular viewpoint. Our study is based on the solution of the BGK (BhatnagerGrossKrook) model of the Boltzmann kinetic equation. The entropy, entropy production, entropy flux, thermodynamic force, and kinetic coefficient are estimated. The celebrated Boltzmann H-theorem for non-equilibrium thermodynamic properties of the system is verified. The ratios between the different contributions of the internal energy changes are predicted via the extended Gibbs equation. The results are applied to a typical model of laboratory argon plasma.


  21. Title: Semi-inverse method la Saint-Venant for two-dimensional linear isotropic homogeneous second gradient elasticity

    Author Information

    NameProf. Amr R. El Dhaba
    University/InstituteFaculty of science - Damanhour university
    Emailamrramadaneg@yahoo.com

    Abstract:

    Semi-inverse method is used to find analytical solutions of squared two-dimensional second gradient linear homogeneous and isotropic materials. Such semi-inverse method is similar to that used by Saint- Venant to solve the omonimus problem for cylindrical three-dimensional first gradient linear homogeneous and isotropic materials. Two examples are also presented. It is found that the wedge forces are necessary to maintain the body in equilibrium and that they are not an artifact of the double application of the divergence theorem in the second gradient material derivations.


  22. Title: The space-time fractional nonlinear Schrdinger equation

    Author Information

    NameProf. Emad Abdel-Baki Abdel-Salam
    University/InstituteFaculty of Science, Assiut University, New Valley
    Emailemad-abdelsalam@yahoo.com

    Abstract:

    The space-time fractional nonlinear Schrdinger equation is solved based on the fractional Riccati expansion method. These solutions include generalized trigonometric and hyperbolic functions solutions which could be useful for further understanding of the mechanisms of the complicated nonlinear physical phenomena and fractional differential equations. Among these solutions, some are found for the first time.


  23. Title: Quantum communication via Entangled networks

    Author Information

    NameProf. Nasser Metwally
    University/InstituteFaculty of Science, Aswan University
    EmailNmetwally@gmail.com

    Abstract:

    In this contribution, the possibility of generating a wireless quantum network between multi-hops is investigated, where each hop consists of two nodes. Two methods are used to connected the non-entangled nodes, DzyaloshinskiiMoriya (DM) interaction and quantum gates. The nodes of the generated network share maximum or partial entangled states. The efficiency of the generated networks is discussed by means of their ability to teleport unknown quantum or classical information between different nodes.


  24. Title: Solution N-dimensional Schrodinger Equation for Cornell Potential at Finite Temperature Using the Nikiforov-Uvarov Method

    Author Information

    NameProf. M. Abu-Shady
    University/InstituteFaculty of Science, Menou.a University, Egypt
    Emailabu-shady-1999@yahoo.com

    Abstract:

    The N-radial Schrodinger equation is analytically solved. The Cornell potential is modified at finite temperature. The energy eigenvalues and the wave functions are calculated in the N- dimensional form using the Nikiforov-Uvarov (UV) method. The energy eigenvalues and the wave functions in the 3-dimentional at zero temperature are obtained in agreement with other works. To check the theoretical calculations, the mass of spectra of charmonium and bottomonium are investigated at .nite temperature. In addition, the effect of dimensionality on the quarkonium mass is investigated at .nite temperature. A comparison with other works, the QCD sum rules, and lattice QCD is discussed. Our conclusion that the present approach successfully to generalize the energy eigenvalues and corresponding wave functions at .nite temperature in N- dimensional representation. In addition, the present approach successfully applies on quarkonium systems at finite temperature.


  25. Title: A NEW SDM CLASSIFIER USING JACCARD MINING PROCEDURE CASE STUDY: RHEUMATIC FEVER DATA

    Author Information

    NameProf. Soaad Abd El-Badie Attia El-Afefy
    University/InstituteFaculty of Science, Tanta University
    Emailsavvymore@gmail.com

    Abstract:

    In this paper, a new Statistical Data Mining (SDM) technique is proposed using Jaccard Mining Procedure (JMP) contributing a novel classifier predictor by applying very effective stages on the training data depending on Jaccard (J) distance matrix Linked with the Gini Index Measure as precision measure for initiating a new classifier and a new predictor, The proposed SDM technique using JMP is applied and examined on a Rheumatic Fever Data and it is programmed using JAVA language to demonstrate its applicability.


  26. Title: Attractivity of a recursive sequence

    Author Information

    NameProf. A. M. Ahmed and N. A. Eshtewy
    University/InstituteFaculty of Science, AL-Azhar University and Faculty of Science, Arish
    Emailneveena@ymail.com

    Abstract:

    In this paper, we investigate the global attractivity of the difference equation.


  27. Title: On the chaotic dynamics of viral infection models

    Author Information

    NameProf. A. Elhassanein
    University/InstituteFaculty of Science, Damanhour University, Damanhour, Egypt
    Emailel-hassanein@yahoo.com

    Abstract:

    In this paper, a new forced discrete chaotic viral infection model is presented. The chaotic behavior of the proposed model is investigated. The existence and stability of the equilibria of the skeleton are studied. Numerical simulations are employed to show the modelís complex dynamics by means of the largest Lyapunov exponents, bifurcations, time series diagrams and phase portraits. Time series diagrams are used to follow the dynamics of the model and discuss the marginal distribution of the state variables. The effects of noise intensity on its dynamics and the intermittency phenomenon are also discussed via simulation. An indicator of the chaotic behaviour of the asymptotic distribution of the stochastic systems is given.


  28. Title: Stability analysis of fractional order HIV infection of CD4+T cells with numerical solutions

    Author Information

    NameProf. Anas Arafa and M.I. Gouda
    University/InstituteFaculty of Science, Port Said University
    Emailanaszi2@yahoo.com,Mody.gouda@yahoo.com

    Abstract:

    In this paper, Mittag-Leffler method has been used to solve a model of HIV infection of CD4+T cells of fractional order. The stability of equilibrium points is studied. The numerical results show that mathematical modeling by fractional ordinary differential equations has more advantages than classical integer- order modeling


  29. Title: An approximate solution of systems of high-order linear differential equations with variable coefficients by means of a rational Chebyshev collocation method

    Author Information

    NameProf. Mohamed A. Ramadan, Kamal. R. Raslan and Mahmoud A. Nassar
    University/InstituteFaculty of Science, Menoufia University and Al-Azhar University
    EmailKamal-raslan@yahoo.com; m7moudscience@yahoo.com

    Abstract:

    The purpose of this paper is to investigate the use of rational Chebyshev collocation method for solving systems of high-order linear ordinary differential equations with variable coefficients. Using the rational Chebyshev collocation points, this method transforms the system of high-order linear ordinary differential equations and the given conditions to matrix equations with unknown rational Chebyshev coefficients. By means of the obtained matrix equations, a new system of equations which corresponds to the system of linear algebraic equations is gained. Numerical examples are given to illustrative the validity and applicability of the method. The proposed method is numerically compared with others existing methods where it maintains better accuracy.


  30. Title: A New Approach for the Linear Space- Fractional Telegraph Equation

    Author Information

    NameAdel R. Hadhoud and Faisal E. I. Abd- Alaal
    University/InstituteFaculty of Science, Menoufia University and Damanhour University
    Email-

    Abstract:

    This paper aims to present a general framework of the quadratic spline functions to develop a numerical method for obtaining approximation solution for the linear space-fractional telegraph equation. Using Von Neumann method, the proposed method is shown to be conditionally stable. A numerical example is included to illustrate the practical implementation of the proposed method. The results reveal that the proposed approach is very effective, convenient and quite accurate to such considered problems in good agreement with the approximate solutions obtained using method for all values of x and t.


  31. Title: Chaotic behavior of a coupled system of the Riccati map

    Author Information

    NameMona Abass Abdalah Salem
    University/InstituteFaculty of Science, Alexandria University
    Emailamkhlyl5@gmail.com

    Abstract:

    In this paper, We present the equivalent discrete system of coupled Riccati type map. We study the dynamic behavior (fixed points and its stability, the Lyapunov exponents, chaos and bifurcation) of the system. Numerical analysis are presented.


  32. Title: Chaotic behavior of a discrete dynamical systems with complex parameter

    Author Information

    NameAhlam Hassan Mahmoud AL-Refai
    University/InstituteFaculty of Science - Alexandria University
    Emailahlamrefai1985@yahoo.com

    Abstract:

    In this paper, we present the equivalent system of complex logistic equation. We study the dynamic properties (fixed points, it is stability, Lyapunov exponents, chaos and bifurcation) of the system. Numerical results that con rm the theoretical analysis are presented.


  33. Title: A method for finding non-dominated solutions in bi-objective integer network flow problems

    Author Information

    NameProf. Abdallah Awad Hassan
    University/InstituteFaculty of Science, Alexandria University
    Emailtahoun44@yahoo.com

    Abstract:

    We present an algorithm for finding all the non-dominated solutions in the objective space and corresponding efficient solutions in the decision space for biobjective integer network flow problems.


  34. Title: On recent approaches for solving nonlinear multiobjective and application

    Author Information

    NameProf. Yusria Abo-Elnaga
    University/InstituteDepartment of basic science, Higher Technological Institute, Tenth of Ramadan City, Egypt
    Emailyousria-naga@yahoo.com

    Abstract:

    Nonlinear different methods for treating of We give an overview The multiobjective programming problems concept and methods . methods are divided into three major categories: methods with a priori articulation of preferences, methods with a posteriori articulation of. Commentary is provided on three fronts, interactiveand preferencescon-cerning the advantages and pitfalls of individual methods, the different classes of methods, and the field of multiobjective optimization as a whole. The Characteristics of the most significant methods are summarized. Conclusions are drawn that reflect often-neglected ideas and applicability to engineering problems. It is found that no single approach is superior. Rather, the selection of a specific method depends on the type of information that is provided in the problem, the users preferences, the solution requirements, and the availability of software.


  35. Title: Pfaffian technique for nonlinear partial differential equations

    Author Information

    NameProf. Magdy G. Asaad
    University/InstituteFaculty of Science, Alexandria University
    Emailmgamil@mail.usf.edu

    Abstract:

    Solitons are among the most bene.cial solutions for science and technology, from ocean waves to transmission of information through optical .bers or energy transport along protein molecules. The existence of multi-solitons, especially three-soliton solutions, is essential for information technology: it makes possible undisturbed simultaneous propagation of many pulses in both directions. In this talk, we will use the Pfa an technique, along with the Hirota bi- linear method to construct new classes of exact multi-soliton solutions in the 3+1 dimensions to various of the most fundamental nonlinear partial dierentail equations such as the prestigious Korteweg-de Vries (KdV), nonlinear Schrdinger (NLS) equations, Kadomtsev-Petviashvili (KP), Davey-Stewartson (DS) equations, B-type KP equation, nonlinear equations of Jimbo-Miwa type and many others.


  36. Title: Biological Models With Memory: A Review

    Author Information

    NameProf. Mohamed Khalil
    University/InstituteFaculty of Engineering, MSA University,Giza, Egypt.
    Emailm.kh1512@gmail.com

    Abstract:

    Understanding the effect of memory and learning behavior of living systems can be an important aspect to develop mathematical models in biology. In this comprehensive survey, tools for describing and measuring memory phenomena are discussed. Stages of memory process are explained here.


  37. Title: Hybrid Gradient Simulated Annealing Algorithm for Nonlinear Unconstrained Optimization Problems

    Author Information

    NameM El-Alem, A. Awad, B. El-Sobky, S. Mahdi
    University/InstituteFaculty of Science, Alexandria University
    Email-

    Abstract:

    We present a new hybrid gradient simulated annealing algorithm for finding a global minimizer for unconstrained optimization problems minx∈Rn f(x). The objective function is assumed to be in C1.


  38. Title: Ideal Fitness Functions in Optimization

    Author Information

    NameM El-Alem
    University/InstituteFaculty of Science, Alexandria University
    Email-

    Abstract:

    In this talk, we present the existing merit functions. We discuss the advantages and the disadvantages of each of them. Then we answer the following question: is there an ideal merit or fitness function.


  39. Title: Challenges in solving practical optimization problems

    Author Information

    NameYasmine Abou-El-Seeoud
    University/InstituteFaculty of Engineering, Alexandria University
    Email-

    Abstract:

    This talk aims to shed light on some of the major challenges facing any decision maker tackling a practical optimization problem whether in design or planning. Despite the wealth of research devoted to solving optimization problems, there is still no clear recipe that can be easily applied to any problem.