-
1
-
-
77953688007
-
Existence of a positive solution to a class of fractional differential equations
-
C.S. Goodrich Existence of a positive solution to a class of fractional differential equations Appl. Math. Lett. 23 2010 1050 1055
-
(2010)
Appl. Math. Lett.
, vol.23
, pp. 1050-1055
-
-
Goodrich, C.S.1
-
2
-
-
58049203758
-
Positive solutions for systems of generalized three-point nonlinear boundary value problems
-
J. Henderson Positive solutions for systems of generalized three-point nonlinear boundary value problems Comment. Math. Univ. Carolin. 49 2008 79 91
-
(2008)
Comment. Math. Univ. Carolin.
, vol.49
, pp. 79-91
-
-
Henderson, J.1
-
3
-
-
74149089358
-
Positive solutions to singular boundary value problem for nonlinear fractional differential equation
-
S. Zhang Positive solutions to singular boundary value problem for nonlinear fractional differential equation Comput. Math. Appl. 59 2010 1300 1309
-
(2010)
Comput. Math. Appl.
, vol.59
, pp. 1300-1309
-
-
Zhang, S.1
-
4
-
-
55649098198
-
Boundary value problems for a coupled system of nonlinear fractional differential equations
-
X. Su Boundary value problems for a coupled system of nonlinear fractional differential equations Appl. Math. Lett. 22 2009 64 69
-
(2009)
Appl. Math. Lett.
, vol.22
, pp. 64-69
-
-
Su, X.1
-
5
-
-
70349490327
-
Calculus of variations with fractional derivatives and fractional integrals
-
R. Almeida, and D.F.M. Torres Calculus of variations with fractional derivatives and fractional integrals Appl. Math. Lett. 22 2009 1816 1820
-
(2009)
Appl. Math. Lett.
, vol.22
, pp. 1816-1820
-
-
Almeida, R.1
Torres, D.F.M.2
-
6
-
-
71649104924
-
Fractional order differential equations on an unbounded domain
-
A. Arara Fractional order differential equations on an unbounded domain Nonlinear Anal. 72 2010 580 586
-
(2010)
Nonlinear Anal.
, vol.72
, pp. 580-586
-
-
Arara, A.1
-
7
-
-
0038405057
-
Existence of positive solutions of nonlinear fractional differential equations
-
DOI 10.1016/S0022-247X(02)00716-3
-
A. Babakhani, and V. Daftardar-Gejji Existence of positive solutions of nonlinear fractional differential equations J. Math. Anal. Appl. 278 2003 434 442 (Pubitemid 36530147)
-
(2003)
Journal of Mathematical Analysis and Applications
, vol.278
, Issue.2
, pp. 434-442
-
-
Babakhani, A.1
Daftardar-Gejji, V.2
-
8
-
-
25144460994
-
Positive solutions for boundary value problem of nonlinear fractional differential equation
-
DOI 10.1016/j.jmaa.2005.02.052, PII S0022247X05001733
-
Z. Bai, and H. L Positive solutions for boundary value problem of nonlinear fractional differential equation J. Math. Anal. Appl. 311 2005 495 505 (Pubitemid 41350217)
-
(2005)
Journal of Mathematical Analysis and Applications
, vol.311
, Issue.2
, pp. 495-505
-
-
Bai, Z.1
Lu, H.2
-
9
-
-
71649083074
-
On positive solutions of nonlocal fractional boundary value problem
-
Z. Bai On positive solutions of nonlocal fractional boundary value problem Nonlinear Anal. 72 2010 916 924
-
(2010)
Nonlinear Anal.
, vol.72
, pp. 916-924
-
-
Bai, Z.1
-
10
-
-
34848916710
-
Existence results for fractional order functional differential equations with infinite delay
-
M. Benchohra 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
-
11
-
-
67349155890
-
Boundary value problems for differential equations with fractional order and nonlocal conditions
-
M. Benchohra, S. Hamani, and S.K. Ntouyas Boundary value problems for differential equations with fractional order and nonlocal conditions Nonlinear Anal. 71 2009 2391 2396
-
(2009)
Nonlinear Anal.
, vol.71
, pp. 2391-2396
-
-
Benchohra, M.1
Hamani, S.2
Ntouyas, S.K.3
-
12
-
-
69549097929
-
Generalized monotone method for periodic boundary value problems of Caputo fractional differential equation
-
J.V. Devi Generalized monotone method for periodic boundary value problems of Caputo fractional differential equation Commun. Appl. Anal. 12 2008 399 406
-
(2008)
Commun. Appl. Anal.
, vol.12
, pp. 399-406
-
-
Devi, J.V.1
-
13
-
-
0037081673
-
Analysis of fractional differential equations
-
K. Diethelm, and N. 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.2
-
14
-
-
1942542248
-
Cauchy problem for fractional diffusion equations
-
DOI 10.1016/j.jde.2003.12.002
-
S. Eidelman, and A. Kochubei Cauchy problem for fractional diffusion equations J. Differential Equations 199 2004 211 255 (Pubitemid 38516155)
-
(2004)
Journal of Differential Equations
, vol.199
, Issue.2
, pp. 211-255
-
-
Eidelman, S.D.1
Kochubei, A.N.2
-
15
-
-
77950866104
-
Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative
-
A. Malinowska, and D.F.M. Torres Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative Comput. Math. Appl. 59 2010 3110 3116
-
(2010)
Comput. Math. Appl.
, vol.59
, pp. 3110-3116
-
-
Malinowska, A.1
Torres, D.F.M.2
-
18
-
-
67651094005
-
Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation
-
X. Xu, D. Jiang, and C. Yuan Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation Nonlinear Anal. 71 2009 4676 4688
-
(2009)
Nonlinear Anal.
, vol.71
, pp. 4676-4688
-
-
Xu, X.1
Jiang, D.2
Yuan, C.3
-
19
-
-
77949263126
-
Unbounded solutions for a fractional boundary value problem on the infinite interval
-
X. Zhao, and W. Ge Unbounded solutions for a fractional boundary value problem on the infinite interval Acta Appl. Math. 109 2010 495 505
-
(2010)
Acta Appl. Math.
, vol.109
, pp. 495-505
-
-
Zhao, X.1
Ge, W.2
-
20
-
-
67349177003
-
Existence and uniqueness for fractional neutral differential equations with infinite delay
-
Y. Zhou, F. Jiao, and 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
-
21
-
-
67349086967
-
Existence and uniqueness for p-type fractional neutral differential equations
-
Y. Zhou, F. Jiao, and 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
-
22
-
-
77955515765
-
Nonlocal Cauchy problem for fractional evolution equations
-
Y. Zhou, and F. Jiao Nonlocal Cauchy problem for fractional evolution equations Nonlinear Anal. RWA 11 2010 4465 4475
-
(2010)
Nonlinear Anal. RWA
, vol.11
, pp. 4465-4475
-
-
Zhou, Y.1
Jiao, F.2
-
23
-
-
77958009389
-
A class of fractional evolution equations and optimal controls
-
J. Wang, and Y. Zhou A class of fractional evolution equations and optimal controls Nonlinear Anal. RWA 12 2011 262 272
-
(2011)
Nonlinear Anal. RWA
, vol.12
, pp. 262-272
-
-
Wang, J.1
Zhou, Y.2
-
25
-
-
77950548183
-
A transform method in discrete fractional calculus
-
F.M. Atici, and P.W. Eloe A transform method in discrete fractional calculus Int. J. Difference Equ. 2 2007 165 176
-
(2007)
Int. J. Difference Equ.
, vol.2
, pp. 165-176
-
-
Atici, F.M.1
Eloe, P.W.2
-
26
-
-
74149083825
-
Initial value problems in discrete fractional calculus
-
F.M. Atici, and 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
-
27
-
-
85085399420
-
Discrete fractional calculus with the nabla operator
-
(Spec. Ed. I)
-
F.M. Atici, and P.W. Eloe Discrete fractional calculus with the nabla operator Electron. J. Qual. Theory Differ. Equ. 3 2009 1 12 (Spec. Ed. I)
-
(2009)
Electron. J. Qual. Theory Differ. Equ.
, vol.3
, pp. 1-12
-
-
Atici, F.M.1
Eloe, P.W.2
-
28
-
-
79953286192
-
Two-point boundary value problems for finite fractional difference equations
-
doi:10.1080/10236190903029241
-
F.M. Atici, P.W. Eloe, Two-point boundary value problems for finite fractional difference equations, J. Difference Equ. Appl., in press (doi:10.1080/10236190903029241).
-
J. Difference Equ. Appl.
-
-
Atici, F.M.1
Eloe, P.W.2
-
29
-
-
77952557731
-
Modeling with fractional difference equations
-
F.M. Atici, and S. engl 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
Engl, S.2
-
30
-
-
77953136599
-
Continuity of solutions to discrete fractional initial value problems
-
C.S. Goodrich Continuity of solutions to discrete fractional initial value problems Comput. Math. Appl. 59 2010 3489 3499
-
(2010)
Comput. Math. Appl.
, vol.59
, pp. 3489-3499
-
-
Goodrich, C.S.1
-
31
-
-
78650178926
-
Solutions to a discrete right-focal fractional boundary value problem
-
C.S. Goodrich Solutions to a discrete right-focal fractional boundary value problem Int. J. Difference Equ. 5 2010 195 216
-
(2010)
Int. J. Difference Equ.
, vol.5
, pp. 195-216
-
-
Goodrich, C.S.1
-
32
-
-
79951536621
-
Some new existence results for fractional difference equations
-
C.S. Goodrich Some new existence results for fractional difference equations Int. J. Dyn. Syst. Differ. Equ. 3 2011 145 162
-
(2011)
Int. J. Dyn. Syst. Differ. Equ.
, vol.3
, pp. 145-162
-
-
Goodrich, C.S.1
-
33
-
-
78651230726
-
Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
-
C.S. Goodrich Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions Comput. Math. Appl. 61 2011 191 202
-
(2011)
Comput. Math. Appl.
, vol.61
, pp. 191-202
-
-
Goodrich, C.S.1
-
34
-
-
78650170131
-
Existence of a positive solution to a system of discrete fractional boundary value problems
-
C.S. Goodrich Existence of a positive solution to a system of discrete fractional boundary value problems Appl. Math. Comput. 217 2011 4740 4753
-
(2011)
Appl. Math. Comput.
, vol.217
, pp. 4740-4753
-
-
Goodrich, C.S.1
-
35
-
-
79960974606
-
A comparison result for the fractional difference operator
-
(in press)
-
C.S. Goodrich, A comparison result for the fractional difference operator, Int. J. Difference Equ., 6 (2011) (in press).
-
(2011)
Int. J. Difference Equ.
, vol.6
-
-
Goodrich, C.S.1
-
36
-
-
79953326334
-
On positive solutions to nonlocal fractional and integer-order difference equations
-
C.S. Goodrich On positive solutions to nonlocal fractional and integer-order difference equations Appl. Anal. Discrete Math. 5 2011 122 132
-
(2011)
Appl. Anal. Discrete Math.
, vol.5
, pp. 122-132
-
-
Goodrich, C.S.1
-
37
-
-
79953294826
-
On a discrete fractional three-point boundary value problem
-
doi:10.1080/10236198.2010.503240
-
C.S. Goodrich, On a discrete fractional three-point boundary value problem, J. Difference Equ. Appl. doi:10.1080/10236198.2010.503240.
-
J. Difference Equ. Appl.
-
-
Goodrich, C.S.1
-
39
-
-
78049333168
-
Discrete-time fractional variational problems
-
N.R.O. Bastos Discrete-time fractional variational problems Signal Process. 91 2011 513 524
-
(2011)
Signal Process.
, vol.91
, pp. 513-524
-
-
Bastos, N.R.O.1
-
40
-
-
77953564728
-
Foundations of nabla fractional calculus on time scales and inequalities
-
G.A. Anastassiou Foundations of nabla fractional calculus on time scales and inequalities Comput. Math. Appl. 59 2010 3750 3762
-
(2010)
Comput. Math. Appl.
, vol.59
, pp. 3750-3762
-
-
Anastassiou, G.A.1
-
41
-
-
77954861707
-
Principles of delta fractional calculus on time scales and inequalities
-
G.A. Anastassiou Principles of delta fractional calculus on time scales and inequalities Math. Comput. Modelling 52 2010 556 566
-
(2010)
Math. Comput. Modelling
, vol.52
, pp. 556-566
-
-
Anastassiou, G.A.1
-
42
-
-
84966234102
-
On the existence of positive solutions of ordinary differential equations
-
L.H. Erbe, and H. Wang On the existence of positive solutions of ordinary differential equations Proc. Amer. Math. Soc. 120 1994 743 748
-
(1994)
Proc. Amer. Math. Soc.
, vol.120
, pp. 743-748
-
-
Erbe, L.H.1
Wang, H.2
|