Curriculum Vitae Mahmoud El-Borai



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Curriculum Vitae

Professor: Mahmoud Mohammed Mostafa El-Borai
Address: Faculty of science Alexandria University Egypt
Nationality: Egyptian
Professor of mathematics
E-Mail: m_m_elborai@yahoo.com
E-Mail: m.m.elborai@sci.alex.edu.eg
Date of Birth: 7/4/1940
Fax: 00203 3911794
Qualifications:

1-B.Sc. special degree (Mathematics) Faculty of science Alexandria University Egypt June 1961
2-Ph. D. Faculty of mathematics Department of differential equations University of Moscow June 1968

Posts:

1-Demonstrator at the Faculty of science, Alexandria University Egypt September 1961.
2-Lecturer at the same faculty, September 1969.
3-Assistant professor, the same faculty June 1974.
4-Professor of mathematics, the same faculty June 1979.
5- Head of the department of mathematics, the same faculty from 27/9/1987 to 26/9/1993.
6- Head of the department of mathematics, faculty of science, Beirut Arab University from 11/11/1985 to 15/8/1987

Academic Visits and Activities:

1-Scholarship to the University of Moscow, to study the degree of Ph.D. June 1962 ---June 1968.
2-Delegated to the University of King Abd El-Aziz, Saudi Arabia, 28 /9/ 1976 to 6/7/1980.
3- Delegated to Arab Beirut University from 11/11/1985 to 15/8/1987.
3-Visiting Professor to Beirut Arab University Lebanon, (Many times).
4-Attended the International Conference of Differential Equations at Moscow University 13-18 June 1988.
5-Attended the International Conference of Operation Research Chicago USA 23-30 August 1983.
6-Attended the 16_th IMACS world congress Lausanne Switzerland 20- 25 August , 2000.
7-Attend the International Conference of Difference Equations and Applications, held in Augsburg Germany August 16-20, 2001.
8-Attended the International Congress of Theoretical and Applied Mathematics Blacksburg VA USA June 23-28 , 2002.
9-Attended the International Conference of Kolmogorov and Contemporary Mathematics, June 16-21, 2003.
10-Attended the International Conference on Scientific Computation and differential equations held at Trondhiem Norway SCICADE July 1-5 2003.
11-Attended the international conference of Dynamical systems and differential equations, California State Polytechnic University Pomona 16-19 , June 2004.
12-Attended the International Congress of Mathematics held at Alemeria Spain June 2005.
13-Attended the Fifth International Congress on Function Spaces, 16-20 May, 2006, at SIUE (SOUTHERN ILLINOIS UNIVERSITY EDWARDSVILLE).
14-Invitation to the international congress of Banach Spaces and their applications, May 22- 27, 2006 at Mimi University Oxford, Ohio (To deliver lectures and my research work).
15-Invitation to the international conference, AIMS, Dynamical systems, held in Poitiers France June 25-28, 2006 (Special Session, Qualitative properties of evolution equations of fractional orders).
16- Invitation to the 6th international congress on industrial and applied mathematics, 16-20 July 2007, held in Zurich, Switzerland.
17-Invitation to the international conference of Mathematical Problems in Engineering ,Aerospace and Science , June 25-27 , 2008 , held in University of Genoa , Italy, (Lecture and paper about optimal control).
18-Invitation to the international Congress of the European Consortium for Mathematics in Industry,30 June- 4 July 2008, held in London University, the Institute of Mathematics and its Applications, (Lecture and paper about exact solutions of problems in industry).

List of publications (Some of the published papers):
[1] Mahmoud M. El-Borai , On the correct formulation of the Cauchy problem and the mixed problem for a self-conjugate equations , Vectnic of Moscow University ,3, 1967.
[2] Mahmoud M. El-Borai, On the correct formulation of the Cauchy problem , Vectnic of Moscow University ,4, 1968.
[3] Mahmoud M. El-Borai, Partial differential equations in an unbounded medium, Academia Nazionalle Dei Lincei Series VIII Vol IV December 6, 1973, 657-662.
[4] Mahmoud M. El-Borai, On stochastic differential equations in a Hilbert space,The Egyptian Statistical Journal, 2, 1973.
[5] Mahmoud M. El-Borai, Singular integral operators and Cauchy's problem for some partial differential equations with operator coefficients, Transaction of the Egyptian Science Centre Vol. 2, pp. 33-41,1976.
[6] Mahmoud M. El-Borai, Some characterization of an abstract differential equation, Proc. Math. Phys. Soc. Egypt; (48) pp.15-23, 1979.
[7] Mahmoud M. El-Borai, On the initial value problem for a partial differential equations with operator coefficients, Int. J. of Math. and mathematical sciences ,3 ,1980.
[8] Mahmoud M. El-Borai, Generalized random processes and Cauchy's problem for some partial differential equations Int. J of Math. and mathematical Sc. No. 3, 1980.
[9] Mahmoud M. El-Borai and Assad F. ,On the asymptotic behavior of some nonlinear parabolic systems, Memories of the faculty of science Kochi University Series A Math. (1997), 9-14.
[10] Mahmoud M. El-Borai and Assad F., On the Cauchy problem for some partial differential equations with time delays, Memoirs of the Faculty of Science Series A. Math. Vol. 18 (1997), 49-57.
[11] Mahmoud M. El-Borai and Abujabal Hamza An abstract Dirichlet problem in the Hilbert space , Korean J. comp. Appl. Math. 4 (1997)
[12] Mahmoud M. El-Borai , Some probability densities and fundamental solution of fractional evolution equations , Chaos, Soliton and Fractals 14 (2002),433-440.
[13] Mahmoud M. El-Borai ,Osama Labib and Hamdy M., Asymptotic stability of some stochastic evolution equations , Applied Math. And comp. 144, 2003, 273-286.

[14]Mahmoud M. El-Borai . Evolution equations without semi groups, J. of Appl. Math. And Comp., 149 (2004), 815-821.
[15]Mahmoud M. El-Borai , Semi groups and some nonlinear fractional differential equations , J. of Appl. Math. and Comp. (2004), 823-831.
[16]Mahmoud M. El-Borai , The fundamental solutions for fractional evolution equations of parabolic type , J. of Appl. math. Stochastic Analysis (JAMSA) 2004, 199-211.
[17]Mahmoud M. El-Borai and Khairia El-Said El-Nadi , Osama Labib , Hamdy M., Volterra equations with fractional stochastic integrals, Mathematical problems in Engineering , 5 , (2004), 453-468.
[18] Mahmoud M. El-Borai , Khairia El-Said El-Nadi , Osama Labib and Hamdy M. , Numerical methods for some nonlinear stochastic differential equations ,Applied math, and comp, 168, 2005, 65-75.
[19] Mahmoud M. El-Borai, On some fractional evolution equations with non-local conditions , International J. of pure and applied mathematics , vol. 24, No. 3, 2005, 405-413.
[20] Mahmoud M. El-Borai, On some fractional differential equations in the Hilbert space, Journal of Discrete and Continuous dynamical systems , Series A, 2005, 233-241.
[21] Mahmoud M. El-Borai and Mohammed I. Abbas , Fractional orders integral equations with supremum, Int. J. Pure Appl. Math. Accepted, 2006.
[22] Mahmoud M. El-Borai , M.A. Abdou , A.A. Badr and M. Basseem , Chebyshev polynomials and Fredholm-Volterra integral equation , Journal of Applied Mathematics and Mechanics , Accepted 2006.
[23] Mahmoud M. El-Borai, On some stochastic integro-differential equations, Accepted, J. D. and Cont. Dynamical system 2006.
[24] Mahmoud M. El-Borai , Khairia El-Said El-Nadi and Eman G. El-Akabawi, On some integro- differential equations of fractional orders , The international j. of Contemporary Mathematics ,Vol. 1, 2006, No. 15, 719-726.
[25] Mahmoud M. El-Borai , Khairia El-Said El-Nadi and Eman G. El-Akabawy , Approximate solutions for nonlinear fractional heat equations , Int. J. Contemp. Math. Sciences, Vol. 2, 2007, no. 27, 1307-1316.
[26]Mahmoud M. El-Borai , M.A. Abdou , A.A. Badr and M. Basseem , Singular nonlinear integral equation and its application , Journal of Applied Mathematics and Mechanics , Accepted , 2007.
[27]Mahmoud M. El-Borai , M.A. Abdou and M. Basseem , Degenerate kernel method for two dimensional nonlinear integral equation of the second kind, Journal of Applied Mathematics and Mechanics , Accepted, 2007.
[28] M.M. El-Borai , M.A. Abdou and M.M. El-Kojok , On a discussion of nonlinear integral equations of type Volterra-Hammertien , J. Korea Sci. Math. Ser. B . Pure & Appl. Math. Vol. 15 , (February 2008 ) , pages 1-18.
[29]Mahmoud M. El-Borai and Mohammed I. Abbas , On some integro-differential equations of fractional orders involving Caratheodory nonlinearities , International J. of modern mathematics , 2(1) (2007), 41-52.
[30] Mahmoud M. El-Borai ,Wagdy G. El-Said and Mohammed I. Abbas, Monotonic solutions of a singular integral equations of Volterra type, J. of STUDIA MATHEMATICA, Accepted 2007
[31] M.M. El-Borai , M.A. Abdou and Basseem , An analysis of two dimensional integral equations of the second kind , LE MATEATICHE Vol. LXII (2007) Fasc I.
[32] M. M. El-Borai , Osama L. Mostafa and Fayes Habeeb Michaeal , On the correct formulation of nonlinear differential equations in Banach space , Int. J. of mathematics & mathematical sciences , Vol. 26 (2001) Issue 7 pp. 437- 444.
[33] M. M. El-Borai, , Khairia El-Said , Osama L. Mostafa and Hamdy M. Ahmed , Semigroups and some fractional stochastic integral equations , Int. J. of pure and applied mathematical sciences , Vol 3 , No.1 (2006) pp. 47-52.

Supervised many M.Sc and PhD thesis (Some of them)
1-M.Sc by Eman Gaber Hassan Elakabawy
Title: Some partial differential equations and the dynamic problem in Robots ( April 2004)
2-M.Sc by Hoda Ahmed Foad Mohamed
Title: On the Cauchy problem for some partial differential equations of fractional orders ( March 2003)
3-M.Sc by Rania Shalaby Farhat
Title: On some properties of fractional order derivatives of some special functions (April 2002)
4-M.Sc by El-Hady Ibrahim Soliman Ahmed
Title: On the solution of some problems of the integral equations (March 2004).
5-M.Sc by Mohmmed Ibrahim Abbas Ali :
Title: On the initial value problems for some integro-partial differential equations with fractional orders (March 2004)
6-M.Sc by Hamed Kamal Mostafa
Title: On some initial value problems for nonlinear differential equations in Banach space (2001)
7-M.Sc by Gehan Ahmed Hasan Ashry
Title: On some trust region algorithms, 2003.
8-M.Sc by Emad Saad Hussein :
Title: The vision correspondence I digital images, 1999.
9-M.Sc by Mahmoud Abd El-Meageed El-Hashash :
Title: On the solution of some partial differential equations with lagging argument, 1986.
10-M.Sc by Tarek Zakaria Ibrahim Ahmed :
Title: On some probem of abstract differential equations, 1995.
11-M.Sc by Ismail Hamid lsansi:
Title: On the stochastic functional differential equations, 1986.
12-M.Sc by Mahmoud M. El-Alem :
Title: On the initial value problem for some random differential equations 1982.
13-M.Sc by Fayez Habib Michael :
Title: On the Cauchy problem of particular differential equations, May 1976.
14-M.Sc by Ahmed Mohammed El-Said:
Title: On the abstract Cauchy problem, May 1976.
15-M.Sc by Ammar Mohammed El-Sherif :
Title: Cauchy problem for some nonlinear fractional differential equations 2006.
16-M.Sc by Mabrouk El-Aish Nowwar Bravdi :
Title: Optimal control and some differential equations of fractional orders, 2006.
17-M.Sc by Omar Kabery :
Title: Stochastic control and the artificial intelligence, (Under preparation).
18-M.Sc by Zeinab Arab Midani:
Title: On the stability of random solutions to some stochastic integro-differential equations of fractional orders, 2008.
19-M.Sc by Fatma Ben Hassan Shewia:
Title: On some some integro-differential equations of generalized orders in Hilbert space, 2008.
20-PhD by Iman Mohammed Ahmed Hamdallah:
Title: On some problems of partial differential equations of fractional orders, 1998.
21-PhD. by Hamdy Mohammed Ahmed :
Title: On some stochastic integral equations (2003).
22-PhD. by Tarek Zakaria Ibrahim Ahmed :
Title: On the existence of solutions for some differential equations of fractional order, (2004).
23-PhD by Moheb S Abo-Zaid :
Title : On some invariance properties of the Cauchy problem , (1996).
24-PhD by Maha Kojok :
Title: On some problems of integral equations and integro-partial differential equations with fractional orders, (2008).
25- PhD by Mohammed Basseem :
Title: On some singular integral equations and applications, (2007).
26- PhD by Mohammed Ibrahim Abbas :
Title: Solvability of some singular integral equations, (May 2007).
27 -PhD by : Iman El-Akabawy :
Title: Evolution equations and applications, (Under preparation).
28- PhD by Hoda Ahmed Foad Mohammed :
Title: On the some stochastic fractional differential equations, (Under preparations).
29-PhD by: Hamed Kamal:
Title: On the integrated semi group, (Under preparation).
There are many other PhD and M.S thesis.
30-PhD by: Iman Akram Zeiny:
Title: Optimal control and some partial differential equations, (Under pereperation).
Other Activities:
1- A Member of the Swiss Society of Mathematics.
2- A Member of the American Society of difference and differential equations.
3- Reviewer of the Journal of Applied Mathematics and Computation.
4- Reviewer of the American Mathematical Review.
5- Editor and reviewer at Waset , (World Academy of Science , Engineering and Technology.
6- Editor and reviewer of enformatica , Computational & Mathematical Sciences.

Research interests:
1- Dynamical systems and the artificial intelligence.
2- Stochastic differential equations.
3- Optimal control.
4- Stochastic control
4- The dynamics of robot.
5- Abstract differential equations with fractional orders.
6- Stochastic differential equations with fractional orders, (Hurst parameter).
7- General theory of partial differential equations.
8- Dynamical systems and Cancer.















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