Prof. Ahmed El-Sayed

Summary

Prof. Ahmed El-Sayed is an Emeritus professor of Pure mathematics at the Faculty of Science- Alexandria University, born on May, 8, 1949. He has established the group in 2009 and he is its coordinator. El-Sayed has a lot of publications papers in several fields of Mathematics and is supervising for a lot of Ph. D and Master Thesis of Egyptian and Arabian students in Alexandria University and various institutes in Egypt.

Education

- B.Sc. degree in Mathematics, 1972, Alexandria Univ., Egypt
- M.Sc. degree in Mathematics, 1976, Alexandria Univ., Egypt
- Ph.D. degree in Mathematics, 1983, Zagazig Univ., Egypt.

Research Interests

- FRACTIONAL CALCULUS
- FUNCTIONAL EQUATIONS
- DISCONTINUOUS DYNAMICAL SYSTEMS
- DIFFERENTIAL EQUATIONS

Teaching Experience

- ANALYSIS: Mathematical analysis, advanced calculus, real analysis, complex analysis and functional analysis
- DIFFERENTIAL EQUATIONS: ordinary differential equations and partial differential equations.
- MEASURE THEORY AND INTEGRATION.
- LINEAR ALGEBRA AND TOPOLOGY.

**Professional Activities**

- Editor in Chief of Journal of fractional calculus and applications
- Editor in Chief of electronic Journal of mathematical analysis and applications
- Associate Editor of Journal of the Egyptian mathematical society
- Editor of Abstract and applied analysis
- Editor of International Journal of Differential Equations
- Editor of Egyptian Chicness journal of computational mathematics
- Reviewer in Zentralblatt Math.
- Referee in
- J. of mathematical analysis and applications
- J. of nonlinear analysis, theory, methods and appl.
- J. of nonlinear analysis, real prob.
- J. of computations and appl. Math.
- J. of appl. math. and comp.
- Computer and math. with appl.
- Appl. math. Letters
- Pysics letters A
- Abstract and applied analysis
- Mathematical problems in engineering
- Discrete dynamics in nature and societ
- Electronic JDE.
- Advances in difference equations
- Applied mathematical modeling
- Applicable analysis
- Portogal math. J.
- Applied numerical mathematics
- Advances in Difference Equations
- Bulletin of the Iranian Mathematical Society
- Mathematica Bohemica

Books

Eman Ziada and Ahmed El-Sayed (2012) Solution of Some Fractional Order Differential and Integral Equations, LAP LAMBERT Academic publishing GmpH

Scientific Publications

- El-Sayed, A.M.A. 1987 Mixed Problem of Semilinear Hyperbolic System Kyungpook Math. J., Vol 27.
- El-Sayed, A.M.A. 1988 Fractional Differential Equations Kyungpook Math. J., Vol 28,2.
- El-Sayed, A.M.A. 1988 Initial Value Problem of a Higher Order Parabolic Equation Periodica Math. Hungarica, Vol 19.
- El-Sayed, A.M.A. 1988 Fractional derivative and fractional differential equations Bull. Fac. of Science Alexandria Univ., Vol. 28.
- El-Sayed, A.M.A. 1988 A Mixed problem of semilinear parabolic equation Bull. Fac. of Science Alexandria Univ., Vol. 28.
- El-Sayed, A.M.A. 1990 On a semilinear Volterra equation.Bull. Fac of Science Assiut Univ., Vol. 19. No. 2.
- El-Sayed, A.M.A. 1990 Initial Value Problem of a Higher Order Differential Equations. Kyungpook Math. J., Vol 30.
- El-Sayed, A.M.A. 1992 On the Fractional Differential Equations Applied Math. and Computation Vol. 49.
- El-Sayed, A.M.A. 1992 A Mixed Problem for a Second Order Sturm-Liouville Equation. Kyungpook Math. J., Vol 32.
- El-Sayed, A.M.A. 1992 Semigroups and Higher Order Generators. Kyungpook Math. J., Vol 32.
- El-Sayed, A.M.A. 1993 Linear Differential Equations of Fractional Order Applied Math. and Computation, Vol 55.
- El-Sayed, A.M.A. 1995 Fractional Order Evolution Equations. Journal of Fractional Calculus, Vol 7.
- El-Sayed, A.M.A. and A.G. Ibrahim 1995 Multivalued Fractional Differential Equations Applied. Math.Computations, Vol 68.
- El-Sayed, A.M.A., El-Sayed W. G and Moustafa O. L. 1995 On some fractional functional equations Pure Math. and Appl. Vol. 6, No.4.
- El-Sayed, A.M.A. 1996 Fractional Differential-Difference Equations Journal of Fractional Calculus, Vol. 10.
- El-Sayed, A.M.A. 1996 Fractional Order Diffusion-Wave Equation International J. of Theo. Physics, Vol. 35, No.
- El-Sayed, A.M.A. 1996 Finite Weyl Fractional Calculus and Abstract Differential Equations Journal. of Fractional Calculus, Vol.9.
- A.G.Ibrahim and El-Sayed A.M.A. 1996 Definite Integral of Fractional Order for Set-Valued Functions Journal of Fractional Calculus Vol. 11
- Igor Pudlubny and El-Sayed A.M.A. 1996 On two definitions of Fractional Derivative Slovak Academy of Sciences, Institute of Experimental Physics, U E F - 03-96.
- El-Sayed, A.M.A and F. M Gaafar. 1997 Sturm-Liouville equation of fractional order Kyungpook Math. Journal, Vol.37, No. 1.
- El-Sayed, A.M.A and F. M Gaafar. 1997 Exact solution of linear differential equations of fractional order, Kyungpook Math. Journal, Vol.37 No. 2.
- El-Sayed, A.M.A. 1997 On some basic properties and applications of the fractional calculus. Pure Mathematics and Applications, Vol.8, No. 2-3-4.
- El-Sayed, A.M.A. 1997 Fractional calculus and Laguerre polynomials of fractional orders. Math. Sci. Res. Hot-line Vol. 1, No. 10.
- El-Sayed, A.M.A. 1998 Nonlinear functional differential equations of arbitrary orders, Nonlinear Analysis: Theory, Methods and Applications. Vol. 33, No. 2.
- El-Sayed, A.M.A. 1998 Abstract differential equations of arbitrary (fractional) orders. Conference of differential equations and their applications, Berno, August 25-29, 1997.El-Sayed, A.M.A. 1999 Fractional-order evolutionary integral equations, Apll. Math. Compute. Vol. 98, No. 2-3.
- El-Sayed, A.M.A and S.Z. Rida. 1999 Bell polynomials of arbitrary (fractional) orders. Appl. Math. Compute. Vol. 106, No.1.
- El-Sayed, A.M.A. 2000 Laguerre polynomials of arbitrary (fractional) orders Appl. Mat. and compute. Vol. 109.
- El-Sayed, A.M.A. 1999 On the generalized Laguerre polynomials of arbitrary (fractional) orders and quantum mechanics, J. Phys. A: Math. Gen. 32.
- El-Sayed A.M.A. 2000 Nonlinear retarded functional differential equations of arbitrary (fractional) orders. International conference on differential equations, Berline, August, 1-7, 1999.
- El-Sayed, A.M.A and A.G. Ibrahim. 2001 Set-valued integral equation of fractional orders. Apll. Math and Compute. Vol. 118.
- El-Sayed A.M.A and Fatma M. Gaafar, 2001 Fractional order differential equations with memory and fractional-order relaxation-oscillation model (PU.M.A) Pure Math. and Appl. Vol. 12.
- Fathi M. Hafiz, Ahmed M.A. El-Sayed and Magdy A. El-Tawil, 2001 On a stochastic fractional calculus J. Fractional calculus and Applied Analysis Vol. 4, No. 1.
- M Cichon, A.M.A. El-Sayed and A. H. Hussien, 2001 Existence theorems for nonlinear functional integral equations of fractional orders. Commentationes Mathematica XLI(Poland).
- El-Sayed, A.M.A and Aly, M. A. E. 2002 Continuation theorem of evolutionary integral equation of fractional order KJCAM. Vol. 9, No. 2.
- Hussien A. H. Salem, El-Sayed, A. M. A and Osama L. Moustafa, 2002 Continuous solutions of some fractional order integral equations. Commentationes Mathematica XLII(2).
- El-Sayed, A.M.A. and Fatma M. Gaafar, 2003 Fractional calculus and some intermediate physical processes Appl. Math. and Compute. Vol. 144.
- El-Sayed, A.M.A, Nagwa Sherif and Ibrahim Abou El-Frag, 2003 On an operator functional equation in and Volterra-Fredholm type integral equations Commendations Mathematicae Vol. XLIII(1).
- Rida, S. Z and El-Sayed, A. M. A, 2003 Fractional calculus and generalized Rodrigues formula. Appl. Math. and Compute. Vol. 147 (2-3).
- Wagdy G. El-Sayed and El-Sayed, A. M. A 2004 On the functional integral equations of mixed type and integro-differential equations of fractional orders. Appl. Math. and Compute. Vol. 154, No. 2, pp. 461-467.
- El-Sayed, A.M.A and Aly, M. A. E. 2004 Continuation and maximal regularity ofd fractional-order evolution equation. Journal of Mathematical Analysis and Applications Vol. 296. Issue I, 340-350.
- El-Sayed, A.M.A and Aly, M. A. E. 2004 Continuation and maximal regularity of fractional-order evolutionary integral equation. Journal of Applicable Analysis Vol. 84, No. 11, 1151-1164.
- El-Sayed, A.M.A, El-Mesiry, A. E. M and El-Saka H. A. A. 2004 Numerical solution for multi-term fractional (arbitrary) orders differential equations. Coputational and Appl. Math. Vol.23, N. 1, pp. 33-54.
- El-Sayed, A.M.A. Fatma M. Gaafar and Hind H. Hashem 2004 On the maximal and minimal solutions of arbitrary orders nonlinear functional integral and differential equations. Math Sci Res J 8(11) pp. 336-348
- El-Sayed A. M. A. 2004 Fractional calculus and intermediate physical processes. Proceedings of the international conference on mathematics and its applications. Kuwait University April 5-7 2004.
- El-Sayed, A. M. A , Nagwa Sherif and Ibrahim Abou El-Farag, 2004 A nonlinear operator functional equation of Volterra type. Appl. Math. and Compute. Vol. 148 (665-679).
- E. Ahmed, El-Sayed, A.M.A. El-Mesiry, A.E.M, and El-Saka, H.A.A. 2005 On fractional replicator equation. IJMPC Vol. 16 No 7 (1-9).
- El-Sayed A. M. A, M. A. El-Tawil, M. S. M. Saif and F. M. Hafiz. 2005 The mean square Riemann- Liouville stochastic fractional derivative and stochastic fractional order differential equation. Math. Sci. Res. J. 9(6) 142-150.
- El-Sayed A. M. A. and Eman M. A. Hamd-Allah. 2005 On a higher fractional orders parabolic equation . Math. Sci. Res. J 9(5) 114-121.
- El-Sayed, A.M.A, Nagwa Sherif and Ibrahim Abou El-Frag, 2005 On a mixed- type integral equation and fractional-order functional differential equations, Commendations Mathematicae Vol. XLV(2).
- El-Sayed, A.M.A and Aly, M. A. E. 2005 Continuation and maximal regularity of fractional-order evolutionary integral equation Int. J of evolution equations Vol. 1 No. 2.
- Hussien A. H. Salem, El-Sayed, A. M. A and Osama L. Moustafa, 2005 A not on the fractional calculus in Banach spaces. Studia Sci. Math. Hungarica Vol. 42 No. 2 (115-150).
- El-Mesiry, A. E. M. El-Sayed, A. M. A and El-Saka, H. A. A. 2005 Numerical methods for multi-term fractional (arbitrary) orders Differential equations. Appl. Math. and Compute. Vol. 160, pp. 683-699.
- Hussien A. H. Salem, El-Sayed, A. M. A and Osama L.Moustafa, 2005 Weak solution for fractional order integral equations in reflexive Banach spaces. Mathematica Slovaca Vol. 55 No. 2 ( 169-181).
- El-Sayed, A.M.A and Gaber, M. 2006 The Adomian decomposition method for solving partial differential equation of fractional order in finite domain. Physics Letters A Vol 359 (175-182).
- El-Sayed, A.M.A and Gaber, M. 2006 On the finite Caputo and finite Riesz derivative Electrical J. of Theor. Physics Vol. 3 No. 12, 81-94.
- E. Ahmed, El-Sayed, A.M.A. and El-Saka, H.A.A. 2006 On some Routh- Hurwitz condition for fractional order differential equations and thier application in Lorentz, Rosiler, Chua and Chen systems. Physics Letteres A Vol. 358 ( 1-4).
- El-Sayed, A.M.A and Gaber, M. 2006 The Adomian decomposition method for solving partial differential equation of fractional order in finite domain. Physics Letters A Vol 359 (175-182).
- E. Ahmed, El-Sayed, A.M.A. and El-Saka, H.A.A. 2007 Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models Journal of Mathematical Analysis and Applications Vol. 325 (542-553).
- Abd El-Salam, Sh. A and El-Sayed, A.M.A. 2007 On the stability of some fractional-0rder non-autonomous systems, Electronic Journal of Qualitative Theory of Differential Equations No. 6 (1-14).
- El-Sayed, A.M.A and Abd El-Salam, Sh. A 2007 Weighted Cauchy-type problem of a functional differ-interal equation, EJQTDE No. 20 (1-9).
- El-Sayed, A.M.A and El-Maghrabi, E.M, 2008 Stability of monotonic solution of non-autonomous multidimensional delay differential equations of arbitrary (fractional) orders EJQTDE No. 16 (1-9).
- El-Sayed, A.M.A and Abd El-Salam Sh. A, 2008 Lp- solution of weighted Cauchy-type problem of a diffre-integral functional equation Int. J. of Nonlinear Sci. Vol 5,
- EL-Sayed, A.M.A and Hashem, H.H. G, (2008) Caratheodory type theorem for a nonlinear quadratic integral equation, Math. Sci. Res. J. Vpl.12(4), pp.71-95.
- EL-Sayed, A.M.A and Hashem, H.H.G, (2008) Integrable and continuous solutions of nonlinear quadratic integral equation , EJQTDE Vol.25, 1-10.
- EL-Sayed, A.M.A and Hashem, H.H.G, (2008) Monotonic positive solution of nonlinear quadratic Hammerstein and Urysohn functional integral equations, Commentationes Mathematicae Vol.48, No.2, pp.199-207.
- EL-Sayed, A.M.A and Hashem, H.H.G, (2008) Weak maximal and minimal solutions for Hammerstein and Urysohn integral equations in reflexive Banach spaces, Differential Equation and Control Processes No. 4, pp.50-62.
- El-Sayed, A. M. A. and Abd El-Salam, Sh. A. (2008) On the stability of a fractional-order differential equation with nonlocal initial condition, EJQTDE, 29 1-8.
- El-Sayed, A. M. A. and Abd El-Salam, Sh. A. (2008) Weak solutions of a fractional-order nonlocal boundary value problem in reflexive Banach spaces, diff. equa. and control processes, Electronic Journal.
- EL-Sayed, A.M.A and Hashem, H.H.G, (2009) Monotonic solutions of functional integral and differential equations of fractional order, EJQTDE, No.7, pp. 1-8.
- EL-Sayed, A.M.A and Hashem, H.H.G, (2009) Solvability of nonlinear Hammerstein quadratic integral equations, J. Nonlinear Sci. Appl., Vol. 2 No. 3, pp.152-160.
- El-Sayed A. M. A. and Abd El-Salam Sh. A (2009) Solvability of a nonlocal boundary value problem of fractional-order differential equation, Math. Sci. Res. J. 13 (1).
- El-Sayed A. M. A. and Abd El-Salam Sh. A (2009) Nonlocal boundary value problem of a fractional-order functional differential equation, Inter. J. Non. Sci., Vol. 7.
- El-Saka, H.A.A. E. Ahmed, M.I. Shehata. El-Sayed, A.M.A. 2009 On stability, persistence and Hopf biforcationsin fractional order dynamical systems, Nonlinear Dynamics Vol. 56 121-126.
- El-Sayed, A.M.A, Reda, S.Z and Arafa, A.A.M (2009) Exact solution of fractional-order biological population model, Comm. Theot. Phys. Vol. 52, 992-996.
- Al-Issa, Sh. M and El-Sayed, A.M.A (2009) Positive integrable solutions for nonlinear integral and differential inclusions of fractional-orders Commentationes Mathematicae. Vol.49, No.2, 171-177.
- El-Sayed, A.M.A and Al-Issa, Sh. M. (2010) Global Integrable Solution for a Nonlinear Functional Integral Inclusion, SRX Mathematics Volume 2010, Article ID 891982. doi:10.3814/2010/891982.
- Sherief, H.H, El-Sayed, A.M.A and Abd El-Latief, A.M. (2010) Fractional order theory of thermoelasticity, International Journal of Solids and structures. Vol. 52(2) 992-996.
- A.M.A. El-Sayed, S.H. Behiry and W.E. Raslan (2010) Adomian's decomposition method for solving an intermediate fractional advection dispersion equation Computers and Mathematics with Applications Vol. 59 1759-1765.
- A.M.A. El-Sayed, S.Z. Rida and A.A.M. Arafa (2010) On the Solutions of the Generalized Reaction-Diffusion Model for Bacterial Colony Acta Appl Math 110: 1501–1511.
- A.M.A. El-Sayed, I.L. El-Kalla and E.A.A. Ziada (2010) Analytical and numerical solutions of multi-term nonlinear fractional orders differential equations Applied Numerical Mathematics Vol.60 788–797.
- A.M. A. EL-Sayed, F.M. Gaafar and E.M. A. Hamadalla (2010) Stability for a non-local non-autonomous system of fractional order differential equations with delays Electronic Journal of Differential Equations, Vol. 2010, No. 31, pp. 1–10.
- EL-Sayed, A.M.A and Hashem, H.H.G, (2010) Monotonic positive solution of a nonlinear quadratic functional integral equation Appl. Math. and Comput.
- S.Z. Rida · A.M.A. El-Sayed · A.A.M. Arafa (2010) Effect of Bacterial Memory Dependent Growth by Using Fractional Derivatives Reaction-Diffusion Chemotactic Model. J. Stat. Phys. (2010) 140: 797–811.
- S. Z. Rida, A. M. A. El-Sayed and A. A. M. Arafa (2010) A Fractional Model for Bacterial Chemoattractant in a Liquid Medium. Nonlinear Sci. Lett. A, Vol. 1, No. 4, 419-424, 2010.
- Mohamed A.E. Herzallah · Ahmed M.A. El-Sayed · Dumitru Baleanu (2010) Perturbation for fractional-order evolution equation. Nonlinear Dyn (2010) 62: 593–600 DOI 10.1007/s11071-010-9746-y.
- A.M.A. El-Sayed S.Z. Rida and A.A.M. Arafa (2010) Exact solutions of some time-fractional bilogical population models by using generalized transform method. Int. J. of Math. modeling, simulation and Appl. Vol. 3, No. 3 . (2010) 231-239.
- El-Sayed A.M.A, Hashim H.H.G and Ziada E.A.A. (2010) Picard and Adomian methods for quadratic integral equation. Computational and Appl. Math. Volume 29, N. 3, pp. 447–463.
- El-Sayed, A.M.A and Bin-Taher E.O (2010) A nonlocal problem of an arbitrary (fractional) orders differential equation, Alexandria J. of Math. Vol. 1 No. 2 pp. 1-7.
- El-Sayed, A.M.A and Elkadeky, Kh. W. (2010) Caratheodory theorem for a nonlocal problem of the differential equation , Alexandria J. of Math. Vol. 1 No. 2 pp. 8-14.
- El-Sayed, A.M.A and Sh. M. Al-Issa, Sh. M (2010) Monotonic continuous solution for a mixed type integral inclusion of fractional order Journal of Mathematics and Applications No 33, pp 27-34.
- Ahmed M.A. El-Sayeda, Hala A. El-Saka, and Esam M. El-Maghrabic (2011) On the Fractional-Order Logistic Equation with Two Different Delays, Z. Naturforsch. 66a, 223 – 227 (2011).
- Ahmed M.A. El-Sayed, E. M. Hamdallah, and Kh. W. Elkadeky (2011) Solutions of a class of nonlocal problems for the differential inclusion , Applied Mathematics and Information Sciences. 5(2), 413S-421S.
- Ahmed M.A. El-Sayed, E. O. Bin-Taher (2011) A nonlocal problem for a multi- term fractional-order differential equation, Int. Journal of Math. Analysis, 5(29), 1445-1451.
- Ahmed M.A. El-Sayed, E. M. Hamdallah, and Kh. W. Elkadeky (2011) Solutions of a Class of Deviated-Advanced Nonlocal Problems for the Differential Inclusion , Abstract and Applied Analysis Volume 2011, Article ID 476392, 9 pages doi:10.1155/2011/476392.
- Ahmed M.A. El-Sayed,E. Ahmed and M. A. E. Herzallah (2011) On The Fractional-Order Games With Non-Uniform Interaction Rate And Asymmetric Games, Journal of Fractional Calculus and Applications, Vol. 1. July 2011, No.1, pp. 1-9.
- Ahmed M.A. El-Sayed, E. O. Bin-Taher (2011) An Arbitrary (Fractional) Orders Differential Equation with Internal Nonlocal and Integral Conditions, Advances in Pure Mathematics, 2011, 1, 59-62.
- Ahmed M.A. El-Sayed, E. O. Bin-Taher (2011) Maximal and minimal positive solutions for a nonlocal boundary value problem of a fractional-order differential equation, Journal of Fractional Calculus and Applications, Vol. 1. July 2011, No.7, pp. 1-8.
- Ahmed M.A. El-Sayed, M. SH. Mohamed, F. F. S. Mohamed (2011) Existence of positive continuous solution of a quadratic integral equation of vfractional orders, Journal of Fractional Calculus and Applications, Vol. 1. July 2011, No. 9, pp. 1-7.
- A.M.A. El-Sayed S.Z. Rida and A.A.M. Arafa (2011) On Solutions of Generalized Bacterial Chemotaxis Model in a Semi-Solid Medium. Applied Mathematics, 2, 1515-1521.
- A.M. A. EL-Sayed and F.M. Gaafar (2011) Stability of a non-local non- autonomous system of fractional order with deferent delays and nonlocal conditions, Advances in difference equations 2011, 2011:47. doi:10.1186/1687-1847-2011-47.
- El-Sayed A M A Bin-Taher E. O (2011) Positive nondecreasing solutions for a multi-term fractional-order functional differential equation with integral conditions EJDE Vol. 2011 (2011), No. 166, pp. 1–8.
- EL-Sayed, A.M.A and Hashem, H.H.G, (2012) Coupled systems of Hammerstein and Urysohn integral equations in revlexive Banach spaces, Diffrential Equations and Control Processes N 1, pp. 85- 96 (2012).
- Ahmed M.A. El-Sayed, E. M. Hamdallah, and Kh. W. Elkadeky (2012) Monotonic Positive Solutions of Nonlocal Boundary Value Problems for a Second-Order Functional Differential Equation, Abstract and Applied Analysis Volume 2012, Article ID 489353, 12 pages doi:10.1155/2012/489353.
- Ahmed M.A. El-Sayed, I. L. El-Kalla, A. Elsaid and D. Hammd (2012) A Homotopy perterpatin techniqe for solving partial differential equations in finite domains, J. Math. Comput. Sci. 2 (2012), No. 2.
- Ahmed M.A. El-Sayed, A. Elsaid and D. Hammad (2012) A Reliable Treatment of Homotopy Perturbation Method for Solving the Nonlinear Klein-Gordon Equation of Arbitrary (Fractional) Orders, Journal of Applied Mathematics Volume 2012, Article ID 581481, 13 pages doi:10.1155/2012/581481
- Ahmed M.A. El-Sayed and And Yassin Khouni (2012) Measurable Lipschitz selections and set-valued integral equations of fractional order, Journal of Fractional Calculus and Applications, Vol. 2. Jan. 2012, No. 5, pp. 1-8.
- A M A El-Sayed, A. Elsaid, I. El-Kalla and D. Hammad (2012) A Homotopy perterbation technique for solving patrial differential equations of fractional order in finite domain, Applied Math. Comput. Vol.218 pp. 9329-83409.
- EL-Sayed, A.M.A and Hashem, H.H.G, (2012) A coupled system of integral equations in reflexive Banach space Acta Mathematica Scientia 2012,32B(5).
- EL-Sayed, A.M.A and Hashem, H.H.G, (2012) Existence results for coupled systems of quadraticintegral equations of fractional orders. Optim Lett. DOI 10.1007/s11590-012-0501-9.
- M. A. El-Sayed. A. Elsaid and S. Helal (2012) Numerical Solutions for Nonlocal Problem of Partial Differential Equations with Deviated Boundary Conditions, American Academic & Scholarly Research Journal No. 1 (Jan. 2012), PP:1-5.
- M. A. El-Sayed and M. E. Nasr (2012) On Some Dynamical Properties of Discontinuous Dynamical Systems, merican Academic & Scholarly Research Journal No. 1 (Jan. 2012), PP:23-26
- M. A. El-Sayed, A. S. Abdel-Rady, S. Z. Rida and I. Ameen , (2012) Continuation of a parameterized implusive differential equation to an initial value J. Math. Comput. Sci. 2 (2012), No. 4, 847-852.
- F. Soliman, A.M.A. El-Sayed and M.S. El-Azab, (2012) Compact Finite Difference Schemes for Solving a Class of Weakly-Singular Partial Integro-differential Equations, Math. Sc. Letters, Vol. 1, No. 1 (May 2012), PP:53-60.
- F. Soliman, A.M.A. El-Sayed and M.S. El-Azab, (2012) On The Numerical Solution of Partial integro-differential equations, Math. Sc. Letters, Vol. 1, No. 1 (May 2012), PP:71-80.
- A.M.A. El-Sayed and S. M. Salman (2012) Chaos and bifurcation of discontinuous dynamical systems with piecewise constant arguments, Malay Journal of Matematik 1 (1) (2012) 15-19.
- A. Elsadany and A. M. A. El-Sayed (2012) On a complex Logistic difference equation, International Journal of Modern Mathematical Sciences, 2012, 4(1): 37-47.
- El-Sayed A M A and M. E. Nasr 2013 Discontinuous dynamical systems and fractional-orders difference equations. Journal of Factional Calculus and Applications Vol. 4, No. 12, ( Jan. 2013) pp. 1-9.
- El-Sayed A. M. A., H. H. G. Hashem and Y. M. Y. Omar (2013) Positive solution of a quadratic integral equation of fractional orders, Vol. 2, No. 1 ( Jan. 2013) .
- El-Sayed A. M. A and S. M. Salman (2013) Discontinuous dynamical systems generated by semi-discritization process, EJMAA Vol. 1, No. 6 (Jan. 2013) pp. 1-8.
- A.M.A. El-Sayed, A. Elsaid, H.M. Nour , and A. Elsonbaty (2013) Dynamical behavior, chaos control and synchronization of a memristor-based ADVP circuit Commun Nonlinear Sci Numer Simulat 18 (2013) 148–170.
- El-Sayed A M A and Bin-Taher E. O (2013) Positive solution for a nonlocal multi-point boundary-value problem of fractional and second order EJDE, Vol. 2013 (2013), No. 64.

**Supervised Thesises (M. Sc)**

- Fatma M.E. Gaafar. 1994, On some problems in singular integro-differential equations. M.Sc. Fac. Of Science Alex. University.
- Tarek Z.I. Ahmed. 1995, On some problems of abstract differential equations. M.Sc. Fac. of Science Helwan University.
- Eman M.A. Hamd Allah, 1996, On the properties of the contraction semigroups. M.Sc. Fac. of Science Alexandria University.
- Hussin A.H. Salem 1997, On some nonlinear integro-differential equations with fractional orders. M.Sc. Fac. of Science Alex. University.
- Ahmed A.M. Aly, 1997, Properties of solutions of some fractional functional differential equations. M.Sc. Fac. of Science Alexandria University.
- Mohamed G.H. Fidawy. 1999, On some properties of the fractional pwoers of the closed operators. M.Sc. Fac. of Science Alexandria University.
- Ibrahim Abou Al-farag Ibrahim, 2000, On some functional differential equations of fractional order M.Sc. Fac. of Science Suez Canal University.
- Mohamed A. E. Aly, 2002, On some differential equations of fractional order M.Sc. Fac. of Science Zagazig University.
- Hind H.G. Hashim, 2002, On the solution of some problems of functional equations and inequalities. Fac. of Science Alexandria University.
- Rania Shalaby Frahat, 2002, On some properties of fractional order derivatives of some special functions. Fac. of Science Alexandria University.
- Abd-El-Latif M. Abd El-Latif, 2003, On some applications of fractional calculus. Fac. of Science Alexandria University.
- Hala A. A. El-Saka, 2004, Numerical solution of fractional order differential equations. Faculty of Science ( Demita) Mansora University.
- Sheren A. Abd El-Salam, 2004, On some boundary value problems of fractional order differential equations. Faculty of Science Alexandria University.
- Farah M. A. Al-Askar, 2004, Study of the existence and properties of solutions of non-linear functional integral equation of fractional order. Girls College of education (Science section) at Riyadh.
- Magda ashoure, 2006 On some problems in the fractional calculus. Faculty of Science, Alexandria University.
- Mohamed M.A. Metwali, 2008 On some retarded functional equations. Faculty of Science, Alexandria University.
- Ebtisam O.S. Bintaher, 2008 On some Sturm-Liouville equations of fractional orders. Faculty of Science Alexandria University.
- Ahmed M. Yousef Hussen 2008 On some properties of fractional order derivatives for some special functions. South Valley University, Qena.
- Rolla S. Ali Ahmad 2009 Solutions of differential equations involving fractional order derivatives. Beriut Arab University,Lebanon.
- Maryam Ali Obied 2009 on the Solutions of some integro differential equations. Beriut Arab University,Lebanon.
- Soltan Riad Al Kontar 2009 An algorithem for the numerical solutions of differential equations of fractional order. Beriut Arab University, Lebanon.
- Asmaa M. Awad. 2009 On the existence of integrable solutions of some functional integral equations. Faculty of Science Alexandria University.
- Elham M El-Magraby 2009 On some properties of the functional equations. Faculty of Science Alexandria University.
- Abdussalam M Abdussalam 2009 On some applications of fractional calculus in special functions. Faculty of Science Alexandria University.
- Yassine Khoni. 2010 On some applications of multivalued functions. Faculty of Science Alexandria University.
- Fatma F. S. Mohamed 2010 On the solution of some quadratic integral equations. Faculty of Science Alexandria University.
- Ebtisam A. Heribesh 2010 On the solutions of some three-point boundary value problems. Faculty of Science Alexandria University.
- Shimaa A. M. Hagag 2011 On some coupled systems of nonlinear differential equations. Faculty of Science Alexandria University.
- Eman R. Elwan 2011 On some coupled systems of abstract differential equations. Faculty of Science Alexandria University.
- Aziza A. H. Abd El-Mola 2011 Solvability of a coupled system of Urysohn integral equations. Faculty of Science Alexandria University.
- Naema A. A. Belhaael 2011 On some coupled systems of operator and functional equations. Faculty of Science Alexandria University.
- Amal Wanis Saaud 2011 On the solution of some coupled systems of integral equations. Faculty of Science Alexandria University.
- Laila Ali Alwakwal 2011 On the solution of coupled systems of Fredholm integral equations. Faculty of Science Alexandria University.
- Sakina Mohamed El-Gerbi 2011 Solvability of a coupled system of Hammerstein integral equations Faculty of Science Alexandria University.
- Yasmin Mohamed Younis Omar 2012 Solvability of some integral equations Faculty of Science Alexandria University.
- Masouda Moussa El-fadel 2012 On the solution of some problems of differential equations Faculty of Science Alexandria University.
- Om Alsad Edgem Ali 2012 On some coupled systems of integral inequalities Faculty of Science Alexandria University.
- Ismail Gad Ameen 2012 On some impulsive differential equations Faculty of Science South Vally University Qena.
- Maysa El-Shahat El-Gendy 2013 On some nonlocal Cauchy problems. Faculty of Science, Alexandria University
- Nesreen Fawzy El-Haddad 2013 On some functional differential equations Faculty of Science, Alexandria University.

Supervised Theses (Ph.D.)

- Fatma M.E. Gaafar, 1998, On some problems in the fractional calculus Fac. of Science Alexandria University.
- Fathi M. Hafiz, 2002, On some stochastic differentiation and integration of fractional orders. Ph.D. Fac. of Science Cairo University Fayoum Branch.
- Hussin A. H. Salem, 2003, On some functional differential equations of fractional orders, Ph.D. Fac. Of Science Alexandria University.
- Tarek Z. I. Ahmed, 2004 On the existence of solution of some differential equations of fractional orders. Fac. of Science Alexandria University.
- Ibrahim Abou Al-Farag Ibrahim, 2004 Study of functional operator equations and solutions of some functional differential equations of fractional orders. Faculty of Science Suez Canal University.
- Mohamed A. E. Aly, 2005 On some differential equations of fractional order. Faculty of Science Zagazig University.
- Eman M.A. Hamd Allah 2005 On the Cauchy problem of some partial differential equations of fractional order. Faculty of Science, Alexandria University.
- M. Gaber, 2007, On the fractional powers of closed operators and their applications. Faculty of Science Suez Canal University.
- Hala A. A. El-Saka, 2007, Numerical solution of fractional order differential equations. Faculty of Science ( Demita) Mansora University.
- Hend H. G. Hashem, 2009 On the Solutions of Some Functional Integral Equations. Faculty of Science, Alexandria University.
- Sheren A. Abd El-Salam, 2009 On The Properties Of Solutions of Some Fractional-order Differential Equations. Faculty of Science, Alexandria University.
- Anas A. Arafa, 2010 On Solutions of some Bio-Mathematical models. Fac. Of Science ( Qena) South Vally University.
- Waleed E. Raslan 2010 On some problems in the fractional calculus. Fac. Of Engineering Mansoura University.
- Eman A. A. Ziada 2010 On the solution of some differential and integral equations of fractional orders. Faculty of Engineering Mansoura University.
- Abd-El-Latif M. Abd El-Latif, 2011 On some applications of the fractional derivatives. Faculty of Science, Alexandria University.
- Shorouk M. Al-issa, 2011 On some differential and integral inclusions of fractional orders. Faculty of Science Beriut Arab University.
- Ahmed M. Yousef Hussen 2012 On some properties of fractional order derivatives for some special functions. South Valley University, Qena.
- Ebtisam Omer Bin-Taher 2012 On some nonlocal problems of fractional order differential equations. Faculty of Science, Alexandria University.
- Khadiga Wanis El-Kadiki 2012 On the solvability of some nonlocal problems of differential equations. Faculty of Science, Alexandria University.
- Doaa Ibrahim Hammad 2012 On fractional differential equations and its applications. Faculty of Engineering, Mansoura University.

**Scientific International Conferences**

- Second international conference on difference equations and applications(SICDEA). Veszprem, Hungary, August 7-11, 1995.
- 9th, international conference on differential equations (Equadiff 9). Berno, Czech republic, August 24-29, 1997.
- Prague seminar on differential equations. Prague, Czech republic, September 1, 1997.
- Ninth international colloquium on differential equations. Polovdiv, Bulgaria, August 18-23, 1998.
- Equadiff 99 international conference on differential equations. Berlin, August 1-7, 1999.
- Transform Methods and special functions ( Thired international workshop) Blagoevgrad, Bulgaria, 13-20 August 1999.
- International Conference on Mathematics and its Applications ( IMCA 2004) April 5-7, 2004 Kuwait University, Kuwait.
- Egypt-France Mathematical Conference May 3-5 2010 Cairo.
- 2nd International Conference on Mathematics and Information Science 10-13 2 Sep. 2011, Sohag University, Egypt.

Connection

Department of Mathematics and Computer Sciences, Faculty of Science, Alexandria University.

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