-
1
-
-
73249139676
-
On the concept of solution for fractional differential equations with uncertainty
-
R. P. Agarwal, V. Lakshmikantham, J. J. Nieto, On the concept of solution for fractional differential equations with uncertainty, Nonlinear Anal. 72(2009) 2859-2862.
-
(2009)
Nonlinear Anal
, vol.72
, pp. 2859-2862
-
-
Agarwal, R.P.1
Lakshmikantham, V.2
Nieto, J.J.3
-
3
-
-
74149083825
-
Initial value problems in discrete fractional calculus
-
F. M. Atici, P. W. Eloe, Initial value problems in discrete fractional calculus, Proc. Amer. Math. Soc. 137(2009) 981-989.
-
(2009)
Proc. Amer. Math. Soc
, vol.137
, pp. 981-989
-
-
Atici, F.M.1
Eloe, P.W.2
-
4
-
-
77950548183
-
A transform method in discrete fractional calculus, Intern
-
F. M. Atici, P. W. Eloe, A transform method in discrete fractional calculus, Intern. J. Difference Equ. 2(2007) 165-176.
-
(2007)
J. Difference Equ
, vol.2
, pp. 165-176
-
-
Atici, F.M.1
Eloe, P.W.2
-
5
-
-
85085399420
-
Discrete fractional calculus with the nable operator
-
F. M. Atici, P. W. Eloe, Discrete fractional calculus with the nable operator, E. J. Qualitative Theory of Diff. Equ., Spec. Ed. I, 3(2009) 1-12.
-
(2009)
E. J. Qualitative Theory of Diff. Equ., Spec. Ed. I
, vol.3
, pp. 1-12
-
-
Atici, F.M.1
Eloe, P.W.2
-
6
-
-
77952557731
-
Modeling with fractional difference equations
-
F. M. Atici, S. Seng̈ul, Modeling with fractional difference equations, J. Math. Anal. Appl. 369(2010) 1-9.
-
(2010)
J. Math. Anal. Appl
, vol.369
, pp. 1-9
-
-
Atici, F.M.1
Seng̈ul, S.2
-
7
-
-
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
-
8
-
-
0036568039
-
Krasnoselskii's fixed point theorem and stability
-
T. A. Burton, T. Furumochi, Krasnoselskii's fixed point theorem and stability, Nonlinear Anal. 49(2002) 445-454.
-
(2002)
Nonlinear Anal
, vol.49
, pp. 445-454
-
-
Burton, T.A.1
Furumochi, T.2
-
9
-
-
14944366448
-
Fixed points, stability, and exact linearization
-
T. A. Burton, Fixed points, stability, and exact linearization, Nonlinear Anal. 61(2005) 857-870.
-
(2005)
Nonlinear Anal
, vol.61
, pp. 857-870
-
-
Burton, T.A.1
-
11
-
-
79958860387
-
On the solutions for impulsive fractional functional differential equations
-
F. Chen, A. Chen, X. Wang, On the solutions for impulsive fractional functional differential equations, Diff. Equ. Dynam. Syst. 17(2009) 379-391.
-
(2009)
Diff. Equ. Dynam. Syst
, vol.17
, pp. 379-391
-
-
Chen, F.1
Chen, A.2
Wang, X.3
-
12
-
-
79952236374
-
-
2011), Article ID 713201, 12 pages
-
F. Chen, X. Luo, Y. Zhou, Existence results for nonlinear fractional difference equation, 2011(2011), Article ID 713201, 12 pages.
-
(2011)
Existence Results For Nonlinear Fractional Difference Equation
-
-
Chen, F.1
Luo, X.2
Zhou, Y.3
-
13
-
-
79958847070
-
Attractivity of fractional functional differential equations
-
doi: 10.1016/j.camwa.2011.03.062
-
F. Chen, Y. Zhou, Attractivity of fractional functional differential equations, Comput. Math. Appl. (2011), doi: 10.1016/j.camwa.2011.03.062.
-
(2011)
Comput. Math. Appl
-
-
Chen, F.1
Zhou, Y.2
-
14
-
-
0000478105
-
An existence theorem for a nonlinear difference equation
-
S. S. Cheng, W. T. Patula, An existence theorem for a nonlinear difference equation, Nonlinear Anal. 20(1993) 193-203.
-
(1993)
Nonlinear Anal
, vol.20
, pp. 193-203
-
-
Cheng, S.S.1
Patula, W.T.2
-
15
-
-
71549156256
-
Smoothness and stability of the solutions for nonlinear fractional differential equations
-
W. Deng, Smoothness and stability of the solutions for nonlinear fractional differential equations, Nonlinear Anal. 72(2010) 1768-1777.
-
(2010)
Nonlinear Anal
, vol.72
, pp. 1768-1777
-
-
Deng, W.1
-
16
-
-
59849106370
-
Global attractivity results for nonlinear functional integral equations via a Krasnoselskii type fixed point theorem
-
B. C. Dhage, Global attractivity results for nonlinear functional integral equations via a Krasnoselskii type fixed point theorem, Nonlinear Anal. 70(2009) 2485-2493.
-
(2009)
Nonlinear Anal
, vol.70
, pp. 2485-2493
-
-
Dhage, B.C.1
-
17
-
-
41749117533
-
Stability in functional differential equations established using fixed point theory
-
C. Jin, J. Luo, Stability in functional differential equations established using fixed point theory, Nonlinear Anal. 68(2008) 3307-3315.
-
(2008)
Nonlinear Anal
, vol.68
, pp. 3307-3315
-
-
Jin, C.1
Luo, J.2
-
18
-
-
77956684069
-
Theory and Applications of Fractional Differential Equations
-
Elsevier Science B.V., Amsterdam
-
A. A. Kilbas, Hari M. Srivastava, Juan J. Trujillo, Theory and Applications of Fractional Differential Equations, in: North-Holland Mathematics Studies, vol. 204, Elsevier Science B.V., Amsterdam, 2006.
-
(2006)
North-Holland Mathematics Studies
, vol.204
-
-
Kilbas, A.A.1
Srivastava, H.M.2
Trujillo, J.J.3
-
19
-
-
51349139941
-
Theory of fractional functional differential equations
-
V. Lakshmikantham, Theory of fractional functional differential equations, Nonlinear Anal. 69(2008) 3337-3343.
-
(2008)
Nonlinear Anal
, vol.69
, pp. 3337-3343
-
-
Lakshmikantham, V.1
-
21
-
-
67649626081
-
Mittag-Leffler stability of fractional order nonlinear dynamic systems
-
Y. Li, Y. Chen, I. Podlubny, Mittag-Leffler stability of fractional order nonlinear dynamic systems, Automatica 45(2009) 1965-1969.
-
(2009)
Automatica
, vol.45
, pp. 1965-1969
-
-
Li, Y.1
Chen, Y.2
Podlubny, I.3
-
22
-
-
76449092011
-
Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
-
Y. Li, Y. Chen, I. Podlubny, Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability, Comput. Math. Appl. 59(2010) 1810-1821.
-
(2010)
Comput. Math. Appl
, vol.59
, pp. 1810-1821
-
-
Li, Y.1
Chen, Y.2
Podlubny, I.3
-
24
-
-
77955429536
-
Maximum principles for fractional differential equations derived from Mittag-Leffler functions
-
J. J. Nieto, Maximum principles for fractional differential equations derived from Mittag-Leffler functions, Appl. Math. Lett. 23(2010) 1248-1251.
-
(2010)
Appl. Math. Lett
, vol.23
, pp. 1248-1251
-
-
Nieto, J.J.1
-
26
-
-
14944338681
-
Stability in neutral nonlinear differential equations with functional delays using fixed-point theory
-
Y. N. Raffoul, Stability in neutral nonlinear differential equations with functional delays using fixed-point theory, Math. Comput. Modelling 44(2004) 691-700.
-
(2004)
Math. Comput. Modelling
, vol.44
, pp. 691-700
-
-
Raffoul, Y.N.1
-
27
-
-
76649139783
-
LMI stability conditions for fractional order systems
-
J. Sabatier, M. Moze, C. Farges, LMI stability conditions for fractional order systems, Comput. Math. Appl. 59(2010) 1594-1609.
-
(2010)
Comput. Math. Appl
, vol.59
, pp. 1594-1609
-
-
Sabatier, J.1
Moze, M.2
Farges, C.3
-
28
-
-
77958009389
-
A class of fractional evolution equations and optimal controls
-
J. Wang, Y. Zhou, A class of fractional evolution equations and optimal controls. Nonlinear Anal.: Real World Applications 12(2011) 262-272.
-
(2011)
Nonlinear Anal.: Real World Applications
, vol.12
, pp. 262-272
-
-
Wang, J.1
Zhou, Y.2
-
30
-
-
67349086967
-
Existence and uniqueness for p-type fractional neutral differential equations
-
Y. Zhou, F. Jiao, J. Li, Existence and uniqueness for p-type fractional neutral differential equations, Nonlinear Anal. 71(2009) 2724-2733.
-
(2009)
Nonlinear Anal
, vol.71
, pp. 2724-2733
-
-
Zhou, Y.1
Jiao, F.2
Li, J.3
-
31
-
-
67349177003
-
Existence and uniqueness for fractional neutral differential equations with infinite delay
-
Y. Zhou, F. Jiao, J. Li, Existence and uniqueness for fractional neutral differential equations with infinite delay, Nonlinear Anal. 71(2009) 3249-3256.
-
(2009)
Nonlinear Anal
, vol.71
, pp. 3249-3256
-
-
Zhou, Y.1
Jiao, F.2
Li, J.3
|