-
1
-
-
77956684069
-
Theory and applications of fractional differential equations
-
Elsevier Science B.V. Amsterdam
-
A.A. Kilbas, Hari M. Srivastava, and J. Juan Trujillo Theory and applications of fractional differential equations North-Holland Mathematics Studies vol. 204 2006 Elsevier Science B.V. Amsterdam
-
(2006)
North-Holland Mathematics Studies
, vol.204
-
-
Kilbas, A.A.1
Srivastava, H.M.2
Trujillo, J.J.3
-
5
-
-
0002795136
-
On the solution of nonlinear fractional order differential equations used in the modeling of viscoelasticity
-
F. Keil, W. Mackens, H. Voss, J. Werther, Springer-Verlag Heidelberg
-
Diethelm, and A.D. Freed On the solution of nonlinear fractional order differential equations used in the modeling of viscoelasticity F. Keil, W. Mackens, H. Voss, J. Werther, Scientific Computing in Chemical Engineering IIComputational Fluid Dynamics, Reaction Engineering and Molecular Properties 1999 Springer-Verlag Heidelberg 217 224
-
(1999)
Scientific Computing in Chemical Engineering IIComputational Fluid Dynamics, Reaction Engineering and Molecular Properties
, pp. 217-224
-
-
Diethelm1
Freed, A.D.2
-
7
-
-
0028878140
-
A fractional calculus approach of self-similar protein dynamics
-
W.G. Glockle, and T.F. Nonnenmacher A fractional calculus approach of self-similar protein dynamics Biophys. J. 68 1995 46 53
-
(1995)
Biophys. J.
, vol.68
, pp. 46-53
-
-
Glockle, W.G.1
Nonnenmacher, T.F.2
-
9
-
-
0001983732
-
Fractional calculus, some basic problems in continuum and statistical mechanics
-
A. Carpinteri, F. Mainardi, Springer-Verlag Wien
-
F. Mainardi Fractional calculus, some basic problems in continuum and statistical mechanics A. Carpinteri, F. Mainardi, Fractals and Fractional Calculus in Continuum Mechanics 1997 Springer-Verlag Wien 291 348
-
(1997)
Fractals and Fractional Calculus in Continuum Mechanics
, pp. 291-348
-
-
Mainardi, F.1
-
11
-
-
67650110018
-
A survey on semilinear differential equations and inclusions involving RiemannLiouville fractional derivative
-
Article ID 981728, 47 pages
-
Ravi P. Agarwal, M. Belmekki, and M. Benchohra A survey on semilinear differential equations and inclusions involving RiemannLiouville fractional derivative Adv. Difference Equ. 2009 2009 Article ID 981728, 47 pages
-
(2009)
Adv. Difference Equ.
, vol.2009
-
-
Agarwal, R.P.1
Belmekki, M.2
Benchohra, M.3
-
12
-
-
67651108878
-
Nonlocal Cauchy problem for abstract fractional semilinear evolution equations
-
K. Balachandran, and J.Y. Park Nonlocal Cauchy problem for abstract fractional semilinear evolution equations Nonlinear Anal. 71 2009 4471 4475
-
(2009)
Nonlinear Anal.
, vol.71
, pp. 4471-4475
-
-
Balachandran, K.1
Park, J.Y.2
-
13
-
-
34848916710
-
Existence results for fractional order functional differential equations with infinite delay
-
M. Benchohra, J. Henderson, S.K. Ntouyas, and A. Ouahab Existence results for fractional order functional differential equations with infinite delay 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
-
14
-
-
58149196822
-
Existence results for fractional functional differential inclusions with infinite delay and application to control theory
-
M. Benchohra, J. Henderson, S.K. Ntouyas, and A. Ouahab Existence results for fractional functional differential inclusions with infinite delay and application to control theory Fract. Calc. Appl. Anal. 11 2008 35 56
-
(2008)
Fract. Calc. Appl. Anal.
, vol.11
, pp. 35-56
-
-
Benchohra, M.1
Henderson, J.2
Ntouyas, S.K.3
Ouahab, A.4
-
15
-
-
68349100153
-
Existence and uniqueness of mild solutions to a semilinear integrodifferential equation of fractional order
-
Y.-K. Chang, V. Kavitha, and M. Mallika Arjunan Existence and uniqueness of mild solutions to a semilinear integrodifferential equation of fractional order Nonlinear Anal. 71 2009 5551 5559
-
(2009)
Nonlinear Anal.
, vol.71
, pp. 5551-5559
-
-
Chang, Y.-K.1
Kavitha, V.2
Arjunan, M.M.3
-
16
-
-
0345867025
-
Semigroup and some nonlinear fractional differential equations
-
M.M. El-Borai Semigroup and some nonlinear fractional differential equations Appl. Math. Comput. 149 2004 823 831
-
(2004)
Appl. Math. Comput.
, vol.149
, pp. 823-831
-
-
El-Borai, M.M.1
-
17
-
-
58149197948
-
Fractional functional differential inclusions with finite delay
-
J. Henderson, and A. Ouahab Fractional functional differential inclusions with finite delay Nonlinear Anal. 70 2009 2091 2105
-
(2009)
Nonlinear Anal.
, vol.70
, pp. 2091-2105
-
-
Henderson, J.1
Ouahab, A.2
-
18
-
-
76349083114
-
Existence and uniqueness of mild solutions for semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays
-
L. Hu, Y. Ren, and R. Sakthivel Existence and uniqueness of mild solutions for semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays Semigroup Forum 79 2009 507 514
-
(2009)
Semigroup Forum
, vol.79
, pp. 507-514
-
-
Hu, L.1
Ren, Y.2
Sakthivel, R.3
-
19
-
-
50349092768
-
Existence of the mild solution for fractional semilinear initial value problems
-
O.K. Jaradat, A. Al-Omari, and S. Momani Existence of the mild solution for fractional semilinear initial value problems Nonlinear Anal. 69 2008 3153 3159
-
(2008)
Nonlinear Anal.
, vol.69
, pp. 3153-3159
-
-
Jaradat, O.K.1
Al-Omari, A.2
Momani, S.3
-
20
-
-
59149098037
-
Existence and approximation of solutions to fractional differential equations
-
M. Muslim Existence and approximation of solutions to fractional differential equations Math. Comput. Modelling 49 2009 1164 1172
-
(2009)
Math. Comput. Modelling
, vol.49
, pp. 1164-1172
-
-
Muslim, M.1
-
21
-
-
80051599753
-
Existence and approximations of solutions to some fractional order functional integral equations
-
M. Muslim, and A.K. Nandakumaran Existence and approximations of solutions to some fractional order functional integral equations J. Integral Equations Appl. 22 2010 95 114
-
(2010)
J. Integral Equations Appl.
, vol.22
, pp. 95-114
-
-
Muslim, M.1
Nandakumaran, A.K.2
-
22
-
-
58149231350
-
A Cauchy problem for some fractional abstract differential equation with nonlocal conditions
-
G.M. N'Guérékata A Cauchy problem for some fractional abstract differential equation with nonlocal conditions Nonlinear Anal. 70 2009 1873 1876
-
(2009)
Nonlinear Anal.
, vol.70
, pp. 1873-1876
-
-
N'guérékata, G.M.1
-
23
-
-
71549132795
-
Existence of mild solution for some fractional differential equations with nonlocal conditions
-
G.M. Mophou, and G.M. N'Guérékata Existence of mild solution for some fractional differential equations with nonlocal conditions Semigroup Forum 79 2009 315 322
-
(2009)
Semigroup Forum
, vol.79
, pp. 315-322
-
-
Mophou, G.M.1
N'guérékata, G.M.2
-
24
-
-
77049086990
-
Existence of mild solutions of some semilinear neutral fractional functional evolution equations with infinite delay
-
G.M. Mophou, and G.M. N'Guérékata Existence of mild solutions of some semilinear neutral fractional functional evolution equations with infinite delay Appl. Math. Comput. 216 2010 61 69
-
(2010)
Appl. Math. Comput.
, vol.216
, pp. 61-69
-
-
Mophou, G.M.1
N'guérékata, G.M.2
-
25
-
-
77956176473
-
On recent developments in the theory of abstract differential equations with fractional derivatives
-
Eduardo Hernández, Donal O'Regan, and K. Balachandran On recent developments in the theory of abstract differential equations with fractional derivatives Nonlinear Anal. 73 2010 3462 3471
-
(2010)
Nonlinear Anal.
, vol.73
, pp. 3462-3471
-
-
Hernández, E.1
O'Regan, D.2
Balachandran, K.3
-
26
-
-
74149093181
-
Existence of mild solutions for fractional neutral evolution equations
-
Yong Zhou, and Feng Jiao Existence of mild solutions for fractional neutral evolution equations Comput. Math. Appl. 59 2010 1063 1077
-
(2010)
Comput. Math. Appl.
, vol.59
, pp. 1063-1077
-
-
Zhou, Y.1
Jiao, F.2
-
27
-
-
77955515765
-
Nonlocal Cauchy problem for fractional evolution equations
-
Yong Zhou, and Feng Jiao Nonlocal Cauchy problem for fractional evolution equations Nonlinear Anal. 11 2010 4465 4475
-
(2010)
Nonlinear Anal.
, vol.11
, pp. 4465-4475
-
-
Zhou, Y.1
Jiao, F.2
-
28
-
-
57549096344
-
Fractional optimal control problem of a distributed system in cylindrical coordinates
-
N. zdemir, D. Karadeniz, and B.B. Iskender Fractional optimal control problem of a distributed system in cylindrical coordinates Phys. Lett. A 373 2009 221 226
-
(2009)
Phys. Lett. A
, vol.373
, pp. 221-226
-
-
Zdemir, N.1
Karadeniz, D.2
Iskender, B.B.3
-
29
-
-
58149167035
-
Fractional optimal control of a 2-dimensional distributed system using eigenfunctions
-
N. zdemir, O.P. Agrawal, B.B. skender, and D. Karadeniz Fractional optimal control of a 2-dimensional distributed system using eigenfunctions Nonlinear Dynam. 55 2009 251 260
-
(2009)
Nonlinear Dynam.
, vol.55
, pp. 251-260
-
-
Zdemir, N.1
Agrawal, O.P.2
Skender, B.B.3
Karadeniz, D.4
-
30
-
-
0002634998
-
Existence of solutions and existence of optimal solutions
-
J. Cecconi, T. Zolezzi
-
L. Cesari Existence of solutions and existence of optimal solutions J. Cecconi, T. Zolezzi, Mathematical Theories of Optimization 1983 88 107
-
(1983)
Mathematical Theories of Optimization
, pp. 88-107
-
-
Cesari, L.1
-
31
-
-
0020715211
-
Existence theorems of optimal control problems in Banach spaces
-
S.H. Hou Existence theorems of optimal control problems in Banach spaces Nonlinear Anal. 7 1983 239 257
-
(1983)
Nonlinear Anal.
, vol.7
, pp. 239-257
-
-
Hou, S.H.1
-
32
-
-
0023362408
-
Existence of optimal controls for nonlinear systems in Banach spaces
-
N.S. Papageorgiou Existence of optimal controls for nonlinear systems in Banach spaces J. Optim. Theory Appl. 53 1987 451 459
-
(1987)
J. Optim. Theory Appl.
, vol.53
, pp. 451-459
-
-
Papageorgiou, N.S.1
-
33
-
-
77958009389
-
A class of fractional evolution equations and optimal controls
-
JinRong Wang, and Yong Zhou A class of fractional evolution equations and optimal controls Nonlinear Anal. 12 2011 262 272
-
(2011)
Nonlinear Anal.
, vol.12
, pp. 262-272
-
-
Wang, J.1
Zhou, Y.2
-
34
-
-
80051596826
-
-
Montpellier, France
-
C. Castaing, P. Clauzure, Semicontinuitédes fonctionelles integrales, Seminaire d'Analyse Convexe, Exposé, vol. 15, Montpellier, France, 1980.
-
(1980)
Semicontinuitédes Fonctionelles Integrales, Seminaire d'Analyse Convexe, Exposé
, vol.15
-
-
Castaing, C.1
Clauzure, P.2
-
36
-
-
61549131656
-
Existence for a class of partial differential equations with nonlocal conditions
-
H. Liu, and J.C. Chang Existence for a class of partial differential equations with nonlocal conditions Nonlinear Anal. 70 2009 3076 3083
-
(2009)
Nonlinear Anal.
, vol.70
, pp. 3076-3083
-
-
Liu, H.1
Chang, J.C.2
-
37
-
-
0001750685
-
Ber lineare vollstetige operatoren
-
J. Schauder ber lineare vollstetige operatoren Studia Math. 2 1930 183 196
-
(1930)
Studia Math.
, vol.2
, pp. 183-196
-
-
Schauder, J.1
-
38
-
-
38949132735
-
Estimates on solutions of some weakly singular Volterra integral inequalities
-
Q.H. Ma, and E.H. Yang Estimates on solutions of some weakly singular Volterra integral inequalities Acta Math. Appl. Sin. Chin. Ser. 25 2002 505 515
-
(2002)
Acta Math. Appl. Sin. Chin. Ser.
, vol.25
, pp. 505-515
-
-
Ma, Q.H.1
Yang, E.H.2
-
40
-
-
0346406638
-
Representation of set-valued operators
-
N.S. Papageorgiou Representation of set-valued operators Trans. Amer. Math. Soc. 292 1985 557 572
-
(1985)
Trans. Amer. Math. Soc.
, vol.292
, pp. 557-572
-
-
Papageorgiou, N.S.1
|