-
1
-
-
77249153545
-
Partial hyperbolic differential equations with finite delay involving the Caputo fractional derivative
-
S. Abbas, M. Benchohra, Partial hyperbolic differential equations with finite delay involving the Caputo fractional derivative, Commun. Math. Anal. 7 (2009), 62-72.
-
(2009)
Commun. Math. Anal.
, vol.7
, pp. 62-72
-
-
Abbas, S.1
Benchohra, M.2
-
2
-
-
68949186567
-
Darboux problem for perturbed partial differential equations of fractional order with finite delay
-
S. Abbas, M. Benchohra, Darboux problem for perturbed partial differential equations of fractional order with finite delay, Nonlinear Anal. 3 (2009), 597-604.
-
(2009)
Nonlinear Anal.
, vol.3
, pp. 597-604
-
-
Abbas, S.1
Benchohra, M.2
-
3
-
-
77949264980
-
A survey on existence result for boundary value problems of nonlinear fractional differential equations and inclusions
-
R. P Agarwal, M. Benchohra, S. Hamani, A survey on existence result for boundary value problems of nonlinear fractional differential equations and inclusions, Acta. Appl. Math. 109 (3) (2010), 973-1033; DOI 10.1007/sl0440-008-9356-6.
-
(2010)
Acta. Appl. Math.
, vol.109
, Issue.3
, pp. 973-1033
-
-
Agarwal, R.P.1
Benchohra, M.2
Hamani, S.3
-
4
-
-
67651103488
-
Existence results for differential equations with fractional order and impulses
-
R. P. Agarwal, M. Benchohra, B. A. Slimani, Existence results for differential equations with fractional order and impulses, Mem. Differential Equations Math. Phys. 44 (2008), 1-1.
-
(2008)
Mem. Differential Equations Math. Phys.
, vol.44
, pp. 1
-
-
Agarwal, R.P.1
Benchohra, M.2
Slimani, B.A.3
-
5
-
-
76649109382
-
Impulsive fractional differential inclusions involving the Caputo fractional derivative
-
E. Ait Dads, M. Benchohra, S. Hamani, Impulsive fractional differential inclusions involving the Caputo fractional derivative, Pract. Calc. Appl. Anal. 12 (1) (2009), 15-38.
-
(2009)
Pract. Calc. Appl. Anal.
, vol.12
, Issue.1
, pp. 15-38
-
-
Ait Dads, E.1
Benchohra, M.2
Hamani, S.3
-
7
-
-
38149134242
-
Uniqueness results for fractional functional differential equations with infinite delay in Frechet spaces
-
A. Belarbi, M. Benchohra, A. Ouahab, Uniqueness results for fractional functional differential equations with infinite delay in Frechet spaces, Appl. Anal. 85 (2006), 1459-1470.
-
(2006)
Appl. Anal.
, vol.85
, pp. 1459-1470
-
-
Belarbi, A.1
Benchohra, M.2
Ouahab, A.3
-
8
-
-
58249117112
-
Existence results for boundary value problems of nonlinear fractional differential equations with integral conditions
-
M. Benchohra, J. R. Graef, S. Hamani, Existence results for boundary value problems of nonlinear fractional differential equations with integral conditions, Appl. Anal. 87 (7) (2008), 851-863.
-
(2008)
Appl. Anal.
, vol.87
, Issue.7
, pp. 851-863
-
-
Benchohra, M.1
Graef, J.R.2
Hamani, S.3
-
9
-
-
58249103422
-
Boundary value problems for differential equations with fractional order
-
M. Benchohra, S. Hamani, S. K. Ntouyas, Boundary value problems for differential equations with fractional order, Surv. Math. Appl. 3 (2008), 1-12.
-
(2008)
Surv. Math. Appl.
, vol.3
, pp. 1-12
-
-
Benchohra, M.1
Hamani, S.2
Ntouyas, S.K.3
-
10
-
-
33744519669
-
-
Publishing Corporation, New York
-
M. Benchohra, J. Henderson, S. K. Ntouyas, Impulsive Differential Equations and Inclusions, Hindawi Publishing Corporation, Vol 2, New York, 2006.
-
(2006)
Impulsive Differential Equations and Inclusions Hindawi
, vol.2
-
-
Benchohra, M.1
Henderson, J.2
Ntouyas, S.K.3
-
11
-
-
34848916710
-
Existence results for functional differential equations of fractional order
-
M. Benchohra, J. Henderson, S. K. Ntouyas, A. Ouahab, Existence results for functional differential equations of fractional order, J. Math. Anal. Appl. 338 (2008), 1340-1350.
-
(2008)
J. Math. Anal. Appl.
, vol.338
, pp. 1340-1350
-
-
Benchohra, M.1
Henderson, J.2
Ntouyas, S.K.3
Ouahab, A.4
-
12
-
-
58249118048
-
Existence and uniqueness of solutions to impulsive fractional differential equations
-
M. Benchohra, B. A. Slimani, Existence and uniqueness of solutions to impulsive fractional differential equations, Electron. J. Differential Equations 10 (2009), 1-11.
-
(2009)
Electron. J. Differential Equations
, vol.10
, pp. 1-11
-
-
Benchohra, M.1
Slimani, B.A.2
-
13
-
-
0000249005
-
On a theorem of ville
-
Priceton, University Press, Princeton, N. G
-
H. F. Bohnenblust, S. Karlin, On a theorem of ville, Contribution to the theory of games 155-160, Annals of Mathematics Studies, no. 24. Priceton University Press, Princeton, N. G. 1950.
-
(1950)
Contribution to the Theory of Games, Annals of Mathematics Studies
, vol.24
, pp. 155-160
-
-
Bohnenblust, H.F.1
Karlin, S.2
-
14
-
-
0002110530
-
Extensions and selections of maps with decomposable values
-
A. Bressan, G. Colombo, Extensions and selections of maps with decomposable values, Studia Math. 90 (1988), 69-86.
-
(1988)
Studia Math.
, vol.90
, pp. 69-86
-
-
Bressan, A.1
Colombo, G.2
-
15
-
-
0003211244
-
-
Springer Berlin-Heidelberg-New York
-
C. Castaing, M. Valadier, Convex Analysis and Measurable Multifunctions, Lecture Notes in Mathematics 580, Springer, Berlin-Heidelberg-New York, 1977.
-
(1977)
Measurable Multifunctions, Lecture Notes in Mathematics
, vol.580
-
-
Castaing, C.1
Valadier, M.2
Analysis, C.3
-
16
-
-
58049138945
-
Some new existence results for fractional differential inclusions with boundary conditions
-
Y.-K. Chang, J. J. Nieto, Some new existence results for fractional differential inclusions with boundary conditions, Math. Comput. Model. 49 (2009), 605-609.
-
(2009)
Math. Comput. Model.
, vol.49
, pp. 605-609
-
-
Chang, Y.-K.1
Nieto, J.J.2
-
17
-
-
51249191814
-
Multivalued contraction mappings in generalized metric spaces
-
H. Covitz, S. B. Nadler Jr., Multivalued contraction mappings in generalized metric spaces, Israel J. Math. 8 (1970), 5-11.
-
(1970)
Israel J. Math.
, vol.8
, pp. 5-11
-
-
Covitz, H.1
Nadler, S.B.2
-
18
-
-
33644534928
-
xy ∈ F{x, y, z) in Banach space
-
xy ∈{x, y, z) in Banach space, Ann. Soc. Math. Pol. Ser. I, Comment. Math. 30 (1) (1990), 41-49.
-
(1990)
Ann. Soc. Math. Pol. Ser. I, Comment. Math.
, vol.30
, Issue.1
, pp. 41-49
-
-
Dawidowski, M.1
Kubiaczyk, I.2
-
20
-
-
0002795136
-
On the solution of nonlinear fractional order differential equations used in the modeling of viscoplasticity
-
F. Keil, W. Mackens, H. Voss, and J. Werther (Eds), Springer-Verlag, Heidelberg
-
K. Diethelm, A. D. Freed, On the solution of nonlinear fractional order differential equations used in the modeling of viscoplasticity, in: "Scientifice Computing in Chemical Engineering II-Computational Fluid Dynamics, Reaction Engineering and Molecular Properties" F. Keil, W. Mackens, H. Voss, and J. Werther (Eds), pp. 217-224, Springer-Verlag, Heidelberg, 1999.
-
(1999)
Scientifice Computing in Chemical Engineering II-Computational Fluid Dynamics, Reaction Engineering and Molecular Properties
, pp. 217-224
-
-
Diethelm, K.1
Freed, A.D.2
-
21
-
-
0037081673
-
Analysis of fractional differential equations
-
K. Diethelm, N. J. Ford, Analysis of fractional differential equations, J. Math. Anal. Appl. 265 (2002), 229-248.
-
(2002)
J. Math. Anal. Appl.
, vol.265
, pp. 229-248
-
-
Diethelm, K.1
Ford, N.J.2
-
22
-
-
0002687438
-
Theeoremes d'existence de solutions d'inclusions diffeerentielles, Topological Methods in Differential Equations and Inclusions
-
edited by A. Granas and M. Frigon, Kluwer Academic Publishers, Dordrecht
-
M. Frigon, Theeoremes d'existence de solutions d'inclusions diffeerentielles, Topological Methods in Differential Equations and Inclusions (edited by A. Granas and M. Frigon), NATO ASI Series C, Vol. 472, Kluwer Academic Publishers, Dordrecht, 1995, 51-87.
-
(1995)
NATO ASI Series C
, vol.472
, pp. 51-87
-
-
Frigon, M.1
-
24
-
-
44949282247
-
Damping description involving fractional operators
-
L. Gaul, P. Klein, S. Kempfle, Damping description involving fractional operators, Mech. Systems Signal Processing 5 (1991), 81-88.
-
(1991)
Mech. Systems Signal Processing
, vol.5
, pp. 81-88
-
-
Gaul, L.1
Klein, P.2
Kempfle, S.3
-
25
-
-
0028878140
-
A fractional calculus approach of selfsimilar protein dynamics
-
W. G. Glockle, T. F. Nonnenmacher, A fractional calculus approach of selfsimilar protein dynamics, Biophys. J. 68 (1995), 46-53.
-
(1995)
Biophys. J.
, vol.68
, pp. 46-53
-
-
Glockle, W.G.1
Nonnenmacher, T.F.2
-
27
-
-
0006899383
-
Topological fixed point theory of multivalued mappings
-
Kluwer Academic Publishers, Dordrecht
-
L. Gorniewicz, Topological Fixed Point Theory of Multivalued Mappings, Mathematics and its Applications, 495, Kluwer Academic Publishers, Dordrecht, 1999.
-
(1999)
Mathematics and Its Applications
, vol.495
-
-
Gorniewicz, L.1
-
29
-
-
0003600306
-
-
Kluwer, Dordrecht, Boston, London
-
Sh. Hu, N. Papageorgiou, Handbook of Multivalued Analysis, Volume I: Theory, Kluwer, Dordrecht, Boston, London, 1997.
-
(1997)
Handbook of Multivalued Analysis: Theory
, vol.1
-
-
Hu, Sh.1
Papageorgiou, N.2
-
31
-
-
27844552286
-
Differential difference inequalities related to hyperbolic functional differential systems and applications
-
Z. Kamont, K. Kropielnicka, Differential difference inequalities related to hyperbolic functional differential systems and applications, Math. Inequal. Appl. 8 (4) (2005), 655-674.
-
(2005)
Math. Inequal. Appl.
, vol.8
, Issue.4
, pp. 655-674
-
-
Kamont, Z.1
Kropielnicka, K.2
-
32
-
-
71849110089
-
Nonlinear differential equations of fractional order in a space of integrable functions
-
A. A. Kilbas, B. Bonilla, J. Trujillo, Nonlinear differential equations of fractional order in a space of integrable functions, Dokl. Ross. Akad. Nauk 374 (4) (2000), 445-449.
-
(2000)
Dokl. Ross. Akad. Nauk
, vol.374
, Issue.4
, pp. 445-449
-
-
Kilbas, A.A.1
Bonilla, B.2
Trujillo, J.3
-
33
-
-
17444382726
-
Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions
-
A. A. Kilbas, S. A. Marzan, Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions, Differential Equations 41 (2005), 84-89.
-
(2005)
Differential Equations
, vol.41
, pp. 84-89
-
-
Kilbas, A.A.1
Marzan, S.A.2
-
34
-
-
77956684069
-
-
Elsevier Science B.V., Amsterdam
-
A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and Applications of Fractional Differential Equations. North-Holland Mathematics Studies, 204. Elsevier Science B.V., Amsterdam, 2006.
-
(2006)
Theory and Applications of Fractional Differential Equations North-Holland Mathematics Studies
, vol.204
-
-
Kilbas, A.A.1
Srivastava, H.M.2
Trujillo, J.J.3
-
36
-
-
0003421351
-
-
World Scientific, Singapore
-
V. Lakshmikantham, D. D. Bainov, P. S. Simeonov, Theory of Impulsive Differential Equations, World Scientific, Singapore, 1989.
-
(1989)
Theory of Impulsive Differential Equations
-
-
Lakshmikantham, V.1
Bainov, D.D.2
Simeonov, P.S.3
-
37
-
-
67349233358
-
-
Cambridge Academic Publishers, Cambridge
-
V. Lakshmikantham, S. Leela, J. Vasundhara, Theory of Fractional Dynamic Systems, Cambridge Academic Publishers, Cambridge, 2009.
-
(2009)
Theory of Fractional Dynamic Systems
-
-
Lakshmikantham, V.1
Leela, S.2
Vasundhara, J.3
-
38
-
-
0000017706
-
An application of the Kakutani-Ky Fan theorem in the theory of ordinary differential equations
-
A. Lasota, Z. Opial, An application of the Kakutani-Ky Fan theorem in the theory of ordinary differential equations, Bull. Acad. Pol. Sci. Ser. Sci. Math. Astronom. Phys. 13 (1965), 781-786.
-
(1965)
Bull. Acad. Pol. Sci. Ser. Sci. Math. Astronom. Phys.
, vol.13
, pp. 781-786
-
-
Lasota, A.1
Opial, Z.2
-
39
-
-
0022020055
-
The Method of upper, lower solutions and hyperbolic partial differential equations
-
V. Lakshmikantham, S. G. Pandit, The Method of upper, lower solutions and hyperbolic partial differential equations, J. Math. Anal. Appl. 105 (1985), 466-477.
-
(1985)
J. Math. Anal. Appl.
, vol.105
, pp. 466-477
-
-
Lakshmikantham, V.1
Pandit, S.G.2
-
40
-
-
0001983732
-
Fractional calculus: Some basic problems in continuum and statistical mechanics
-
A. Carpin-teri and F. Mainardi (eds), Springer-Verlag, Wien
-
F. Mainardi, Fractional calculus: Some basic problems in continuum and statistical mechanics, in "Fractals and Fractional Calculus in Continuum Mechanics", A. Carpin-teri and F. Mainardi (eds), pp. 291-348, Springer-Verlag, Wien, 1997.
-
(1997)
Fractals and Fractional Calculus in Continuum Mechanics
, pp. 291-348
-
-
Mainardi, F.1
-
41
-
-
0002547746
-
A Rothe's type theorem for non-compact acyclic-valued map
-
M. Martelli, A Rothe's type theorem for non-compact acyclic-valued map, Boll. Un. Mat. Ital. 4 (3), (1975), 70-76.
-
(1975)
Boll. Un. Mat. Ital.
, vol.4
, Issue.3
, pp. 70-76
-
-
Martelli, M.1
-
42
-
-
0001044887
-
Relaxation in filled polymers: A fractional calculus approach
-
F. Metzler, W. Schick, H. G. Kilian, T. F. Nonnenmacher, Relaxation in filled polymers: A fractional calculus approach, J. Chem. Phys. 103 (1995), 7180-7186.
-
(1995)
J. Chem. Phys.
, vol.103
, pp. 7180-7186
-
-
Metzler, F.1
Schick, W.2
Kilian, H.G.3
Nonnenmacher, T.F.4
-
43
-
-
71549128004
-
Existence and uniqueness of mild solutions to impulsive fractional differential equations
-
G. Mophou, Existence and uniqueness of mild solutions to impulsive fractional differential equations, Nonlinear Anal. 72 (2010), 1604-1615.
-
(2010)
Nonlinear Anal.
, vol.72
, pp. 1604-1615
-
-
Mophou, G.1
-
44
-
-
34147123779
-
Existence and uniqueness results for impulsive functional differential equations with scalar multiple delay and infinite delay
-
A. Ouahab, Existence and uniqueness results for impulsive functional differential equations with scalar multiple delay and infinite delay, Nonlinear Anal. 67 (2007), 1027-1041.
-
(2007)
Nonlinear Anal.
, vol.67
, pp. 1027-1041
-
-
Ouahab, A.1
-
45
-
-
0043047275
-
Monotone methods for systems of nonlinear hyperbolic problems in two independent variables
-
S. G. Pandit, Monotone methods for systems of nonlinear hyperbolic problems in two independent variables, Nonlinear Anal. 30 (1997), 235-272.
-
(1997)
Nonlinear Anal.
, vol.30
, pp. 235-272
-
-
Pandit, S.G.1
-
49
-
-
0040644408
-
On one class of differential equations of noninteger order
-
N. P. Semenchuk, On one class of differential equations of noninteger order, Differ-ents. Uravn. 10 (1982), 1831-1833.
-
(1982)
Differ-Ents. Uravn.
, vol.10
, pp. 1831-1833
-
-
Semenchuk, N.P.1
-
51
-
-
68949195303
-
Existence of solutions of partial differential inclusions of fractional order
-
A. N. Vityuk, Existence of solutions of partial differential inclusions of fractional order, Izv. Vyssh. Uchebn., Ser. Mat. 8 (1997), 13-19.
-
(1997)
Izv. Vyssh. Uchebn., Ser. Mat.
, vol.8
, pp. 13-19
-
-
Vityuk, A.N.1
-
52
-
-
68949171371
-
Existence of solutions of systems of partial differential equations of fractional order
-
A. N. Vityuk, A. V. Golushkov, Existence of solutions of systems of partial differential equations of fractional order, Nonlinear Oscil. 7 (3) (2004), 318-325.
-
(2004)
Nonlinear Oscil.
, vol.7
, Issue.3
, pp. 318-325
-
-
Vityuk, A.N.1
Golushkov, A.V.2
-
53
-
-
33645152919
-
Positive solutions for boundary-value problems of nonlinear fractional dif- frential equations
-
S. Zhang, Positive solutions for boundary-value problems of nonlinear fractional dif- frential equations, Electron. J. Differential Equations 36 (2006), 1-12.
-
(2006)
Electron. J. Differential Equations
, vol.36
, pp. 1-12
-
-
Zhang, S.1
|