CURRICULUM VITAE
1-Personal:
Full name : Prof. Dr. Ahmed Gamal Mohamed Ahmed IBRAHIM
Birthday : November| 12| 1952
Place of birthday: Banha —Egypt
Marital status : Married-four children
Address
Cairo University- Faculty of Science.
Department of Mathematics.
Cairo-Egypt.
Tel : 5676539 Cairo (office) 00202 2 3500894 home ( Cairo )
Current address:
King Faisal University-- Faculty of Science.
Department of Mathematics.
31982Al-Ahsa
1759 Kingdom of Saudi Arabia
Mobil : 0105546406 Cairo ,
0557930690 and (o35885498) Kingdom of Saudi Arabia
2-The Specialize. Functional Analysis.
3-Scientific history.
1-Bachelors of science in Mathematics with grade distinction with class honor (Cairo University-Faculty of Science) 1974.
2-D.E. A. (Functional analysis and Algebraic Topology) Universite de Maressille (France) 1978.
3-Master of Science (Mathematics —Topology).Cairo university Faculty of Science, 1979.
4-Doctorat troisieme cycle (Mathematics —Functional Analysis) Universite de Montepllier II France , 1981.
4-Doctorat Ph.D. Cairo University Faculty of Science .( Mathematics-Functional Analysis) 1983. Supervised by Prof: Charles CASTAING( France)
4-Employment history.
1-Assistant ,Cairo University Faculty of Science, department of Mathematics, 1974-1979.
2-Associate Teaching, Cairo University Faculty of Science, department of Mathematics, 1979-1983.
3-Teaching , Cairo University Faculty of Science, department of Mathematics, 1983-1995.
4-Associate professor, Cairo University Faculty of Science, department of Mathematics, 1995-2001.
5-Professor, Cairo University Faculty of Science, department of Mathematics, October 31-2001.
5-Research Activities
My researches are in the domain of Functional Analysis and concerned with set-valued functions, its properties, existence results for differential inclusions of integer or fractional order and the topological properties of the set of solutions.
A- Theses Supervised (M. Sc and Ph.D.)
1- Adel Mahmoud Gomma, Set- valued functions and its applications Cairo university, faculty of science(Ph.D. doctorate) Egypt (2001).
2-Kholood salah El-Kulaibi, New results on the existence of monotone solutions and external solutions for second order differential inclusions .King Faisal University, faculty of science (Master).Al-Ahsa. Saudi Arabia (2003).
3-.Asma Soliman, New existence theorems for differential inclusions and some topological properties of the set of solutions. Faculty of girls ,Ein Shams university-Ph. D. thesis (2008) .
4 -Mona El Shary. Set- valued functions and its applications in differential inclusions with or without memory. Faculty of Education for girls .King Khalad University . Abha Saudi Arabia. Ms. C. (2009 ).
5-Riem Al; Omair. Differential inclusions with non-local conditions. King Faisal University, faculty of science (Master).Al-Ahsa. Saudi Arabia. Ms. C( 2009 ).
6-F.A.Al Adsani, New existence theorems of a class of differential inclusions
in Banach spaces .Faculty of Education for girls . King Faisal University, Al-Ahsa
. Saudi Arabia. Ph. D thesis (2011 ) .
7- Nouria. Almoulhim, New results on the existence of mild solutions for differential inclusions of fractional order and with nonlocal conditions, King Faisal University, Al-Ahsa . Saudi Arabia. Ms.C. thesis (2014 ) .
8- Nawal Al-Sarori, Impulsive semilinear differential inclusions with nonlocal conditions King Faisal University, Al-Ahsa . Saudi Arabia. Ms.C. thesis (2014 ) .
9- Mohammed Salem Abdu Qaid, Perturbed sweepings process in Banach spaces, King Faisal University, Al-Ahsa . Saudi Arabia. Ms.C. thesis (2015 ) .
10-Rabab Hanzel, On the existence of solutions to boundary value problems of functional functional differential inclusions of fractional order. King Faisal University, Al-Ahsa . Saudi Arabia. Ms.C. thesis (2015)
11- Modhi Ali Faleh Alsubaie,Anti-periodic solutions for Functional Differential Inclusions of Fractional Order. King Faisal University, Al-Ahsa . Saudi Arabia. Ms.C. thesis .In Progress.
12- Ashawak Al Mutari, Continuous selections of solution sets of semilinear differential inclusions of fractional order. King Faisal University, Al-Ahsa . Saudi Arabia. Ms.C. thesis .In progress.
13-Gawhar Al Zerik, limpulsive fractional semilinear differential inclusions with sectorial or almost sectorial operators in Banach spaces . King Faisal University, Al-Ahsa . Saudi Arabia. Ms.C. thesis. In progress.
13- Zainab Yousuf Alhussain, Non-instantaneous Impulsive Semilinear Differential Inclusions . King Faisal University, Al-Ahsa . Saudi Arabia. Ms.C. thesis. In progress.
14.Ebtsam Al Asmari. Fractional Differential Inclusions. King Faisal University, Al-Ahsa . Saudi Arabia. Ms.C. thesis. In progress.
B-Scientific Visits
1-1982(September) international conference on Differential Inclusions-Milano-Italy
2-1988(December) - International conference on Pure Mathematics. University of Assuit .Egypt.
3-1995(December)- International conference on Analysis and Mathematical Analysis. Cairo University. Egypt.
C-Another Scientific Activities
1-Reviewer at the Mathematical Review.
2-Referee for four Ph.D. thesis and three MS. C. thesis.
3-Reviewer for the journals:
(a)Advances in difference equations
(b)Differential equations and dynamical system
© Acta Mathmatica Scientia
3- Co-Author of the Book:
" Functional Analysis" (with Iqbal Jebril) (Text and reference book for Math 484. Course, Math. Dep. Faculty of Science, King Faisal University 2014.
4- Review for research projects to King Abdulaziz University , Al Taaf University and Majmaah University.
E-List of Publications.
1-Ahmed Gamal Mohamed, Perturbations semicontinuous superieurrment de certaines equations d’evolution .Sem.d’Analyse Convex .Montpellier,Vol. 11, No.2,Exp.14,(1981).
2-Ahmed Gamal Mohhmed ,Perturbations non-convex d’un problem d’evolution dans espace hilbertien. Sem.d’Analyse Convex. Montpellier, Vol.11,No.2,Exp.16 ,(1981).
3-Ahmed Gamal Mohhrned ,Theorm de La valuer moyenne pour des Multapplications . Sem.d’Analyse Convex Montpellier,Vol. 11 ,No. 2, Exp. 17,(1981).
4-Ahmed Gamal Mohamed., Perturbations non convex d’un equation d’evolution dans espace de Banach. Sem.d’Analyse Convex .Montpellier, Vol. l2,No.2,Exp. 17 ,(1982).
5-A.G .Ibrahim, On differential inclusions with memory in Banach spaces. Proc. Math. Soc. Egypt .Vol.67, 1-26 ,(1992).
6-A.G .Ibrahim, Non convex lower semi-continuous perturbation of an evolution problem in Hilbert spaces. Bull. Fac. of Assiut University.22(2-c),13-l8,(1993).
7-A.G.Ibrahim, On the existence of solutions of differential inclusions with constraints. Bull. Fac. of AssiutUniversity.22(1-c)23-37(1993).
8-A.G.Ibrahim, On the existence of solutions of multivalued differential equations with non convex right-hand side in Banach spaces .Proc .Math. Soc.Vol.69,33-44 , Egypt. (1994).
9-A.G.Ibrahim, lower semi-continuous non convex perturbation of m-accretive differential inclusions in Banach spaces. Periodica Mathernatica. 27,114, (1993).
10-Ben Abedellah ,C.Castaing and A. G.Ibrahim, By solutions of multivalued differential equations on closed moving sets in Banach spaces .Geometry in Nonlinear Control and differential inclusions. Banach Centre Publications, Polish Academy of Science, Vol. 32,53-81, (1995).
11-A.M.A.El-Sayed, and A.G. Ibrahim, Multivalued fractional differential equations .Applied Mathematics and Computations. Vol. 68,No. 1,15-25,1995.
12-A. G. Ibrahim,On the differentiability of set-valued functions defined on Banach spaces and mean value theorem. Applied Mathematics and Computations. Vol.74,No.1,79-94,( 1996).
13-A-G.Ibrahim and Ahmed. M.A .El-Sayed, Definite integral of fractional order for set-valued functions. Journal of Fractional Calculus, Vol. 11 ,No.4,81- 87
( 1997).
14-A-G. Ibrahim and A.M.Gomaa, Strong and weak solutions for differential inclusions with moving constraints in Banach spaces Pure Math, and Applications.Hungaria.Vol.8,No. 1,53-65,( 1997).
15-A-G. lbrahim, Functional evolution equations with non convex lower semicontinuous multivalued perturbations. International Journal of Math. and Math. Sci.,VoI.21,No. 1,165-170,(1998).
16-A-G. Ibrahim, Existence theorems for fractional set-valued in Banach spaces Journal of Fractional Calculus, Vol. 14, ,65-75 , November (1998).
17-A-G.Ibrahim and A.M.Gomaa, Topological properties of the solutions sets of some differential inclusions. Pure. Math. And Applications. Hungaria .Vol. I 0.No.2,( 1999).
18-C.Castaing and A.G.Ibrahim., Functional differential inclusion on closed sets in Banach spaces.Adv.Math.Econ.2,2 1-39,(2000).
19-A.G.Ibrahim, On the density of extremal solutions for fractional integral inclusions in Banach spaces. Journal of Fractional Calculus. Vol. 18,57-70,(2000).
20-Ahmed. M.A.El-Sayed and A-G. Ibrahim, Set-valued integral equations of fractional orders. Journal of Applied Mathematics and computations. Vol.118,1,113-121,(2001).
21-A-G. Ibrahim, Topological properties of solutions sets for functional differential inclusions governed by a family of operators .Portugaliae Mathematica Journal. Vol.58,Fasc 3,255-270,(2001).
22-A-G.Ibrahim and A.M.Goniaa, Extremal solutions of classes of multivalued differential equations . Journal of Applied Mathematics and computations. Vol.136,279-314,(2003).
23-C.Castaing and A.G.Ibrahim, Functional evolution equations governed by m- accretive operators. Adv. Math. Econ. 5,23-45,(2003).
24-A.G.Ibrahim and K.S.Alkulaibi, On the existence of monotone solutions for second –order non convex differential inclusions in infinite dimensional spaces. Portugaliae Mathematica Journal. Vol.61,Fasc 2,231-248,(2004).
25-A.G.Ibrahim and A.Soliman. On the fractional Pettis and Aumann-Pettis integral for multifunctions. Annales Societatis Mathematicae Polonae. Commentationes Mathematicae XLVI (2),181-200..(2006).
26- C.Castaing , A.G.Ibrahim and M,Yarou. Existence problems in second order evolution inclusions: discretization and variational approach. Taiwanese Journal of Mathematics.Vol.12,No.6,pp.1435-1477 (2008).
27-A.G.Ibrahim and F.A. Aladsani. Monotone solutions for a nonconvex functional differential inclusions of second order .electronic J. of Differential Equations ,Vol.2008,No.144,pp.1-16,(2008).
28- A.G.Ibrahim and A. Soliman. On the existence of mild solutions of semilinear functional differential inclusions. Le Matematiche .Vol.LXIII.Fasc1 ,pp.107-121,(2008) Italy.
29-C.Castaing,A.G.Ibrahim. and M.Yarou. Some contributions to nonconvex sweepings process. J. Of Nonlinear and Convex Analysis .Vol.10.No.1,2009.1-20
30-Al-Omair,R and Ibrahim. A.G, Existence of mild solutions of a semilinear evolution differential inclusions with nonlocal conditions.EJDE.Vol.2009,(2009),N0.42,pp,1-11.
31. A.G. Ibrahim and F.A. Aladsani; Second order evolution inclusions
governed by sweepings process in Banach spaces. FascII, Vol.LXIV. Le Matematiche journal,17-39,(2009) .
32- A.G. Ibrahim and F.A. Aladsani. Monotone solutions for a nonconvex functional differential inclusions of second order with Caratheordary perturbation. Le Matematiche journal Fasc II, Vol. 64 (2010).
33-A.G. Ibrahim and N.A. ALSarori, Mild solutions for nonlocal impulsive fractional semilinear differential inclusions with delay in Banach spaces, Applied Mathematics, vol.4,pp.40-56,2013.
34-F.Aladsani and A. G. Ibrahim, Non Compact Perturbation of Sweeping Process with delay in Banach Spaces, International journal of Mathematics and Mathematical Science,vol.2013.article ID567094.
35-J-R. Wang, A.G. Ibrahim, Existence and controllability results for nonlocal fractional impulsive differential inclusions in Banach spaces, Accepted to publish in Journal of Function Spaces and Applications, vol. 2013,article ID518306.
36-A.G.Ibrahim and N. Almoulhim, fractional semilinear functional differential inclusions involving Caputo derivative, Le Matematich Journal. Fasc.1,2014125-148
.
37- A.G.Ibrahim, Fractional differential inclusions with anti-periodic boundary conditions in Banach spaces. Electronic journal of qualitative and theory of differential equations, No.65 (2014)1.32.
38- J-R. Wang, A.G.Ibrahim and M, Feckan, Nonlocal limpulsive fractional semilinear differential inclusions with fractional sectorial operators in Banach spaces. Applied Mathematics and Computation 257(2015)103-118.
39-J-R. Wang, A.G.Ibrahim and M, Feckan, Nonlocal Cauchy problems for differential inclusions with fractional order in Banach spaces. Commun Nonlinear SCi Numer Simulat,27(2015)281-293.
40- -A.G.Ibrahim and F.Aladsani.Convex sweeping processes with noncompact perturbations and with delay in Banach spaces. Abstract and Applied Analysis. Article ID 804209.(2106).
41- Wang, JinRong; Ibrahim, Ahmed Gamal; Feckan, Michal: Differential inclusions of arbitrary fractional order with anti-periodic conditions in Banach spaces. Electronic journal of qualitative and theory of differential equations, No.34 (2016)1.22.
42- A.G.Ibrahim and F.Aladsani. Nonconvex sweeping process with non-compact valued perturbation and with delay, Accepted to publish at Scientific journal of King Faisal university.
5-Teaching Activities.
A-Undergraduate courses:
1. Differential and Integral Calculus *
2-Advanced Calculus*
3-Ordinary Differential Equations*
4-Principle of Analysis * *
5-Real Analysis (1)*,**
6-Real Analysis (2)* * (Metric spaces-the differentiability of functions defined on an open subset of finite Euclidean space)
7-Measure Theory*,**
8-General Topology*,**
9-Algebra(1) (at the faculty of girls —Ainshams university)
10-Linear Algebra (at the faculty of Education —Mansoura university)
11-Complex Analysis *,**(and at the faculty of science-Suez canal university)
12-Functional Analysis *,**
B-Graduate courses
1. Real Analysis (1)*
2. Real Analysis (2)(abstract measure theory)*
3. Complex Analysis (1)*
4. Topologoy *,**
5. Theory of Operators*,**
6. Functional Analysis *,**
* Cairo University Faculty of Science, department of Mathematics.
* * King Faisal University Faculty of (Education or Science, department of Mathematics.
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