-
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. Hybrid Syst., 3(2009), 597-604.
-
(2009)
Nonlinear Anal. Hybrid Syst.
, 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(2010), no. 3, 973-1033.
-
(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), 1-21.
-
(2008)
Mem. Differential Equations Math. Phys.
, vol.44
, pp. 1-21
-
-
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, Fract. Calc. Appl. Anal., 12(2009), no. 1, 15-38.
-
(2009)
Fract. Calc. Appl. Anal.
, vol.12
, Issue.1
, pp. 15-38
-
-
Ait Dads, E.1
Benchohra, M.2
Hamani, S.3
-
6
-
-
0030588772
-
Periodic boundary value problem for first order differential equations with impulses at variable times
-
DOI 10.1006/jmaa.1996.0424
-
I. Bajo, E. Liz, Periodic boundary value problem for first order differential equations with impulses at variable times, J. Math. Anal. Appl., 204(1996), 65-73. (Pubitemid 126171221)
-
(1996)
Journal of Mathematical Analysis and Applications
, vol.204
, Issue.1
, pp. 65-73
-
-
Bajo, I.1
Liz, E.2
-
8
-
-
33750985067
-
Existence theory for perturbed impulsive hyperbolic differential inclusions with variable times
-
DOI 10.1016/j.jmaa.2006.05.003, PII S0022247X06004781
-
A. Belarbi, M. Benchohra, Existence theory for perturbed impulsive hyperbolic differential inclusions with variable times, J. Math. Anal. Appl., 327(2007), 1116-1129. (Pubitemid 44742797)
-
(2007)
Journal of Mathematical Analysis and Applications
, vol.327
, Issue.2
, pp. 1116-1129
-
-
Belarbi, A.1
Benchohra, M.2
-
9
-
-
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
-
10
-
-
33751005379
-
Impulsive hyperbolic differential inclusions with variable times
-
M. Benchohra, L. Górniewicz, S.K. Ntouyas, A. Ouahab, Impulsive hyperbolic differential inclusions with variable times, Topol. Methods Nonlinear Anal., 22(2003), 319-329.
-
(2003)
Topol. Methods Nonlinear Anal.
, vol.22
, pp. 319-329
-
-
Benchohra, M.1
Górniewicz, L.2
Ntouyas, S.K.3
Ouahab, A.4
-
11
-
-
33751007351
-
Existence Results for Impulsive Hyperbolic Differential Inclusions
-
DOI 10.1080/00036810310001613160
-
M. Benchohra, L. Góorniewicz, S.K. Ntouyas, A. Ouahab, Existence results for impulsive hyperbolic differential inclusions, Appl. Anal., 82(2003), 1085-1097. (Pubitemid 37422087)
-
(2003)
APPLICABLE ANALYSIS
, vol.82
, Issue.11
, pp. 1085-1097
-
-
Benchohra, M.1
Gorniewicz, L.2
Ntouyas, S.K.3
Ouahab, A.4
-
12
-
-
58249117112
-
Existence results for boundary value problems with nonlinear fractional differential equations
-
M. Benchohra, J.R. Graef, S. Hamani, Existence results for boundary value problems with nonlinear fractional differential equations, Appl. Anal., 87(2008), no. 7, 851-863.
-
(2008)
Appl. Anal.
, vol.87
, Issue.7
, pp. 851-863
-
-
Benchohra, M.1
Graef, J.R.2
Hamani, S.3
-
13
-
-
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
-
14
-
-
33744519669
-
-
Hindawi 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
, vol.2
-
-
Benchohra, M.1
Henderson, J.2
Ntouyas, S.K.3
-
15
-
-
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
-
16
-
-
3042579835
-
Impulsive neutral functional differential inclusions with variable times
-
M. Benchohra, J.A. Ouahab, Impulsive neutral functional differential inclusions with variable times, Electron. J. Differential Equations, 2003(2003), no. 67, 1-12. (Pubitemid 38817774)
-
(2003)
Electronic Journal of Differential Equations
, vol.2003
, pp. 1-12
-
-
Benchohra, M.1
Ouahab, A.2
-
17
-
-
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, 2009(2009), no. 10, 11 pp.
-
(2009)
Electron. J. Differential Equations
, vol.2009
, Issue.10
, pp. 11
-
-
Benchohra, M.1
Slimani, B.A.2
-
18
-
-
84959979133
-
Theorem about existence and uniqueness of continuous solutions of nonlocal problem for nonlinear hyperbolic equation
-
L. Byszewski, Theorem about existence and uniqueness of continuous solutions of nonlocal problem for nonlinear hyperbolic equation, Appl. Anal., 40(1991), 173-180.
-
(1991)
Appl. Anal.
, vol.40
, pp. 173-180
-
-
Byszewski, L.1
-
19
-
-
33644541223
-
Differential and functional-differential problems with nonlocal conditions, (in Polish)
-
Krakow
-
L. Byszewski, Differential and functional-differential problems with nonlocal conditions, (in Polish), Cracow University of Technology Monograph, 184, Krakow, 1995.
-
(1995)
Cracow University of Technology Monograph
, vol.184
-
-
Byszewski, L.1
-
21
-
-
33644534928
-
xy ε F (x,y,z) in Banach space
-
xy ε F (x,y,z) in Banach space, Ann. Soc. Math. Pol. Ser. I, Comment. Math., 30 (1990), no. 1, 41-49.
-
(1990)
Ann. Soc. Math. Pol. Ser. I, Comment. Math.
, vol.30
, Issue.1
, pp. 41-49
-
-
Dawidowski, M.1
Kubiaczyk, I.2
-
22
-
-
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
-
23
-
-
0030174506
-
Impulsive differential equations with variable times
-
DOI 10.1016/0362-546X(95)00053-X
-
M. Frigon, D. O'Regan, Impulsive differential equations with variable times, Nonlinear Anal., 26 (1996), 1913-1922. (Pubitemid 126377308)
-
(1996)
Nonlinear Analysis, Theory, Methods and Applications
, vol.26
, Issue.12
, pp. 1913-1922
-
-
Frigon, M.1
O'Regan, D.2
-
24
-
-
0142103339
-
First order impulsive initial and periodic problems with variable moments
-
M. Frigon, D. O'Regan, First order impulsive initial and periodic problems with variable moments, J. Math. Anal. Appl., 233(1999), 730-739.
-
(1999)
J. Math. Anal. Appl.
, vol.233
, pp. 730-739
-
-
Frigon, M.1
O'Regan, D.2
-
25
-
-
0142071710
-
Second order Sturm-Liouville BVP's with impulses at variable moments
-
M. Frigon, D. O'Regan, Second order Sturm-Liouville BVP's with impulses at variable moments, Dynam. Contin. Discrete Impuls. Systems, 8 (2001), no. 2, 149-159.
-
(2001)
Dynam. Contin. Discrete Impuls. Systems
, vol.8
, Issue.2
, pp. 149-159
-
-
Frigon, M.1
O'Regan, D.2
-
26
-
-
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
-
29
-
-
0028423627
-
Extremal solutions, comparison principle and stability criteria for impulsive differential equations with variable times
-
S.K. Kaul, V. Lakshmikantham, S. Leela, Extremal solutions, comparison principle and stability criteria for impulsive differential equations with variable times, Nonlinear Anal., 22(1994), 1263-1270.
-
(1994)
Nonlinear Anal.
, vol.22
, pp. 1263-1270
-
-
Kaul, S.K.1
Lakshmikantham, V.2
Leela, S.3
-
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(2005), no. 4, 655-674. (Pubitemid 41639388)
-
(2005)
Mathematical Inequalities and Applications
, vol.8
, Issue.4
, pp. 655-674
-
-
Kamont, Z.1
Kropielnicka, K.2
-
32
-
-
0142103340
-
Vector Lyapunov functions for impulsive differential systems with variable times
-
S.K. Kaul, X.Z. Liu, Vector Lyapunov functions for impulsive differential systems with variable times, Dynam. Contin. Discrete Impuls. Systems, 6(1999), 25-38.
-
(1999)
Dynam. Contin. Discrete Impuls. Systems
, vol.6
, pp. 25-38
-
-
Kaul, S.K.1
Liu, X.Z.2
-
33
-
-
0142039838
-
Impulsive integro-differential equations with variable times
-
S.K. Kaul, X.Z. Liu, Impulsive integro-differential equations with variable times, Nonlinear Stud., 8(2001), 21-32.
-
(2001)
Nonlinear Stud.
, vol.8
, pp. 21-32
-
-
Kaul, S.K.1
Liu, X.Z.2
-
34
-
-
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(2000), no. 4, 445-449.
-
(2000)
Dokl. Ross. Akad. Nauk
, vol.374
, Issue.4
, pp. 445-449
-
-
Kilbas, A.A.1
Bonilla, B.2
Trujillo, J.3
-
35
-
-
17444382726
-
Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions
-
DOI 10.1007/s10625-005-0137-y
-
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. (Pubitemid 40551100)
-
(2005)
Differential Equations
, vol.41
, Issue.1
, pp. 84-89
-
-
Kilbas, A.A.1
Marzan, S.A.2
-
36
-
-
77956684069
-
-
North-Holland Mathematics Studies 204. Elsevier Science B.V., Amsterdam
-
A.A. Kilbas, Hari M. Srivastava, Juan 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
-
-
Kilbas, A.A.1
Hari, M.2
Srivastava Juan, J.T.3
-
37
-
-
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
-
38
-
-
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
-
39
-
-
0142071711
-
The method of upper and lower solutions and monotone technique for impulsive differential equations with variable moments
-
V. Lakshmikantham, N.S. Papageorgiou, J. Vasundhara, The method of upper and lower solutions and monotone technique for impulsive differential equations with variable moments, Appl. Anal., 15 (1993), 41-58.
-
(1993)
Appl. Anal.
, vol.15
, pp. 41-58
-
-
Lakshmikantham, V.1
Papageorgiou, N.S.2
Vasundhara, J.3
-
40
-
-
0022020055
-
METHOD OF UPPER, LOWER SOLUTIONS AND HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS.
-
DOI 10.1016/0022-247X(85)90062-9
-
V. Lakshmikantham, S.G. Pandit, The method of upper, lower solutions and hyperbolic partial differential equations, J. Math. Anal. Appl., 105(1985), 466-477. (Pubitemid 15598644)
-
(1985)
Journal of Mathematical Analysis and Applications
, vol.105
, Issue.2
, pp. 466-477
-
-
Lakshmikantham, V.1
Pandit, S.G.2
-
41
-
-
0001983732
-
Fractional calculus: Some basic problems in continuum and statistical mechanics
-
(A. Carpinteri 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. Carpinteri and F. Mainardi, Eds.), Springer-Verlag, Wien, 1997, 291-348.
-
(1997)
Fractals and Fractional Calculus in Continuum Mechanics
, pp. 291-348
-
-
Mainardi, F.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
-
-
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
-
46
-
-
0003598080
-
-
Gordon and Breach, Yverdon
-
S.G. Samko, A.A. Kilbas, O.I. Marichev, Fractional Integrals and Derivatives. Theory and Applications, Gordon and Breach, Yverdon, 1993.
-
(1993)
Fractional Integrals and Derivatives. Theory and Applications
-
-
Samko, S.G.1
Kilbas, A.A.2
Marichev, O.I.3
-
48
-
-
0040644408
-
On one class of differential equations of noninteger order
-
N.P. Semenchuk, On one class of differential equations of noninteger order, Differents. Uravn., 10 (1982), 1831-1833.
-
(1982)
Differents. Uravn.
, vol.10
, pp. 1831-1833
-
-
Semenchuk, N.P.1
-
49
-
-
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
-
50
-
-
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(2004), no. 3, 318-325.
-
(2004)
Nonlinear Oscil.
, vol.7
, Issue.3
, pp. 318-325
-
-
Vityuk, A.N.1
Golushkov, A.V.2
-
51
-
-
33645152919
-
Positive solutions for boundary-value problems of nonlinear fractional diffrential equations
-
S. Zhang, Positive solutions for boundary-value problems of nonlinear fractional diffrential equations, Electron. J. Differential Equations, 2006(2006), no. 36, 12 pp.
-
(2006)
Electron. J. Differential Equations
, vol.2006
, Issue.36
, pp. 12
-
-
Zhang, S.1
|