-
4
-
-
65049084831
-
-
Series on Complexity, Nonlinearity and Chaos World Scientific Boston 1248.26011
-
Baleanu D, Diethelm K, Scalas E, Trujillo JJ: Fractional Calculus Models and Numerical Methods. World Scientific, Boston; 2012. Series on Complexity, Nonlinearity and Chaos
-
(2012)
Fractional Calculus Models and Numerical Methods
-
-
Baleanu, D.1
Diethelm, K.2
Scalas, E.3
Trujillo, J.J.4
-
5
-
-
67650110018
-
A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
-
2009 Article ID 981728
-
Agarwal RP, Belmekki M, Benchohra M: A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative. Adv. Differ. Equ. 2009., 2009: Article ID 981728
-
(2009)
Adv. Differ. Equ
-
-
Agarwal, R.P.1
Belmekki, M.2
Benchohra, M.3
-
6
-
-
74149085906
-
Mathematical modeling of different types of instabilities in time fractional reaction-diffusion systems
-
2579475 1189.35151 10.1016/j.camwa.2009.05.013
-
Gafiychuk V, Datsko B, Meleshko V: Mathematical modeling of different types of instabilities in time fractional reaction-diffusion systems. Comput. Math. Appl. 2010, 59:1101-1107.
-
(2010)
Comput. Math. Appl
, vol.59
, pp. 1101-1107
-
-
Gafiychuk, V.1
Datsko, B.2
Meleshko, V.3
-
7
-
-
79961096580
-
On nonlocal fractional boundary value problems
-
2858328 1230.26003
-
Ahmad B, Agarwal RP: On nonlocal fractional boundary value problems. Dyn. Contin. Discrete Impuls. Syst. 2011, 18:535-544.
-
(2011)
Dyn. Contin. Discrete Impuls. Syst
, vol.18
, pp. 535-544
-
-
Ahmad, B.1
Agarwal, R.P.2
-
8
-
-
80052938977
-
A Nagumo-like uniqueness theorem for fractional differential equations
-
Article ID 392003
-
Baleanu D, Mustafa OG, O'Regan D: A Nagumo-like uniqueness theorem for fractional differential equations. J. Phys. A, Math. Theor. 2011.,44(39): Article ID 392003
-
(2011)
J. Phys. A, Math. Theor.
, vol.44
, Issue.39
-
-
Baleanu, D.1
Mustafa, O.G.2
O'Regan, D.3
-
9
-
-
79955563070
-
Positive solutions for a nonlocal fractional differential equation
-
2803087 1220.34006 10.1016/j.na.2011.02.043
-
Wang Y, Liu L, Wu Y: Positive solutions for a nonlocal fractional differential equation. Nonlinear Anal. 2011, 74:3599-3605.
-
(2011)
Nonlinear Anal
, vol.74
, pp. 3599-3605
-
-
Wang, Y.1
Liu, L.2
Wu, Y.3
-
10
-
-
84856356825
-
Fractional boundary value problems: Analysis and numerical methods
-
2846376
-
Ford NJ, Morgado ML: Fractional boundary value problems: analysis and numerical methods. Fract. Calc. Appl. Anal. 2011, 14:554-567.
-
(2011)
Fract. Calc. Appl. Anal
, vol.14
, pp. 554-567
-
-
Ford, N.J.1
Morgado, M.L.2
-
11
-
-
80054946851
-
A study of nonlinear Langevin equation involving two fractional orders in different intervals
-
2846866 1238.34008 10.1016/j.nonrwa.2011.07.052
-
Ahmad B, Nieto JJ, Alsaedi A, El-Shahed M: A study of nonlinear Langevin equation involving two fractional orders in different intervals. Nonlinear Anal., Real World Appl. 2012, 13:599-606.
-
(2012)
Nonlinear Anal., Real World Appl
, vol.13
, pp. 599-606
-
-
Ahmad, B.1
Nieto, J.J.2
Alsaedi, A.3
El-Shahed, M.4
-
12
-
-
84863492181
-
Nonlinear fractional differential equations and inclusions of arbitrary order and multi-strip boundary conditions
-
2946837
-
Ahmad B, Ntouyas SK: Nonlinear fractional differential equations and inclusions of arbitrary order and multi-strip boundary conditions. Electron. J. Differ. Equ. 2012,2012(98):1-22.
-
(2012)
Electron. J. Differ. Equ
, vol.2012
, Issue.98
, pp. 1-22
-
-
Ahmad, B.1
Ntouyas, S.K.2
-
13
-
-
80052816299
-
Global attractivity for nonlinear fractional differential equations
-
2846839 1238.34011 10.1016/j.nonrwa.2011.07.034
-
Chen F, Nieto JJ, Zhou Y: Global attractivity for nonlinear fractional differential equations. Nonlinear Anal., Real World Appl. 2012, 13:287-298.
-
(2012)
Nonlinear Anal., Real World Appl
, vol.13
, pp. 287-298
-
-
Chen, F.1
Nieto, J.J.2
Zhou, Y.3
-
14
-
-
0011805878
-
On q-difference equations
-
JFM 41.0502.01 10.2307/2370183
-
Jackson FH: On q -difference equations. Am. J. Math. 1910, 32:305-314.
-
(1910)
Am. J. Math
, vol.32
, pp. 305-314
-
-
Jackson, F.H.1
-
15
-
-
84974497034
-
On q-functions and a certain difference operator
-
Jackson FH: On q -functions and a certain difference operator. Trans. R. Soc. Edinb. 1908, 46:253-281.
-
(1908)
Trans. R. Soc. Edinb
, vol.46
, pp. 253-281
-
-
Jackson, F.H.1
-
18
-
-
80053060907
-
Boundary-value problems for nonlinear third-order q-difference equations
-
10.1155/2011/107384
-
Ahmad B: Boundary-value problems for nonlinear third-order q -difference equations. Electron. J. Differ. Equ. 2011,2011(94):1-7.
-
(2011)
Electron. J. Differ. Equ
, vol.2011
, Issue.94
, pp. 1-7
-
-
Ahmad, B.1
-
19
-
-
79959203803
-
Boundary value problems for q-difference inclusions
-
2011 Article ID 292860
-
Ahmad B, Ntouyas SK: Boundary value problems for q -difference inclusions. Abstr. Appl. Anal. 2011., 2011: Article ID 292860
-
(2011)
Abstr. Appl. Anal
-
-
Ahmad, B.1
Ntouyas, S.K.2
-
20
-
-
84863919120
-
A study of second-order q-difference equations with boundary conditions
-
2012 Article ID 35
-
Ahmad B, Alsaedi A, Ntouyas SK: A study of second-order q -difference equations with boundary conditions. Adv. Differ. Equ. 2012., 2012: Article ID 35
-
(2012)
Adv. Differ. Equ
-
-
Ahmad, B.1
Alsaedi, A.2
Ntouyas, S.K.3
-
21
-
-
77950548183
-
A transform method in discrete fractional calculus
-
2493595
-
Atici FM, Eloe PW: A transform method in discrete fractional calculus. Int. J. Differ. Equ. 2007, 2:165-176.
-
(2007)
Int. J. Differ. Equ
, vol.2
, pp. 165-176
-
-
Atici, F.M.1
Eloe, P.W.2
-
22
-
-
78650178926
-
Solutions to a discrete right-focal fractional boundary value problem
-
2771325
-
Goodrich CS: Solutions to a discrete right-focal fractional boundary value problem. Int. J. Differ. Equ. 2010, 5:195-216.
-
(2010)
Int. J. Differ. Equ
, vol.5
, pp. 195-216
-
-
Goodrich, C.S.1
-
23
-
-
77953136599
-
Continuity of solutions to discrete fractional initial value problems
-
2646320 1197.39002 10.1016/j.camwa.2010.03.040
-
Goodrich CS: Continuity of solutions to discrete fractional initial value problems. Comput. Math. Appl. 2010, 59:3489-3499.
-
(2010)
Comput. Math. Appl
, vol.59
, pp. 3489-3499
-
-
Goodrich, C.S.1
-
24
-
-
79958719410
-
Linear systems of fractional nabla difference equation
-
2794443 1218.39003 10.1216/RMJ-2011-41-2-353
-
Atici FM, Eloe PW: Linear systems of fractional nabla difference equation. Rocky Mt. J. Math. 2011, 41:353-360.
-
(2011)
Rocky Mt. J. Math
, vol.41
, pp. 353-360
-
-
Atici, F.M.1
Eloe, P.W.2
-
25
-
-
79953286192
-
Two-point boundary value problems for finite fractional difference equations
-
2783359 0976.39002 10.1080/10236190903029241
-
Atici FM, Eloe PW: Two-point boundary value problems for finite fractional difference equations. J. Differ. Equ. Appl. 2011, 17:445-456.
-
(2011)
J. Differ. Equ. Appl
, vol.17
, pp. 445-456
-
-
Atici, F.M.1
Eloe, P.W.2
-
26
-
-
78049333168
-
Discrete-time fractional variational problems
-
1203.94022 10.1016/j.sigpro.2010.05.001
-
Bastos NRO, Ferreira RAC, Torres DFM: Discrete-time fractional variational problems. Signal Process. 2011, 91:513-524.
-
(2011)
Signal Process
, vol.91
, pp. 513-524
-
-
Bastos, N.R.O.1
Ferreira, R.A.C.2
Torres, D.F.M.3
-
27
-
-
79953318713
-
Fractional derivatives and integrals on time scales via the inverse generalized Laplace transform
-
2800417
-
Bastos NRO, Mozyrska D, Torres DFM: Fractional derivatives and integrals on time scales via the inverse generalized Laplace transform. Int. J. Math. Comput. 2011, 11:1-9.
-
(2011)
Int. J. Math. Comput
, vol.11
, pp. 1-9
-
-
Bastos, N.R.O.1
Mozyrska, D.2
Torres, D.F.M.3
-
28
-
-
78650170131
-
Existence of a positive solution to a system of discrete fractional boundary value problems
-
2745153 1215.39003 10.1016/j.amc.2010.11.029
-
Goodrich CS: Existence of a positive solution to a system of discrete fractional boundary value problems. Appl. Math. Comput. 2011, 217:4740-4753.
-
(2011)
Appl. Math. Comput
, vol.217
, pp. 4740-4753
-
-
Goodrich, C.S.1
-
29
-
-
80051790398
-
On discrete sequential fractional boundary value problems
-
2832079 1236.39008 10.1016/j.jmaa.2011.06.022
-
Goodrich CS: On discrete sequential fractional boundary value problems. J. Math. Anal. Appl. 2012, 385:111-124.
-
(2012)
J. Math. Anal. Appl
, vol.385
, pp. 111-124
-
-
Goodrich, C.S.1
-
30
-
-
84974177889
-
Some fractional q-integrals and q-derivatives
-
218848 0171.10301 10.1017/S0013091500011469
-
Al-Salam WA: Some fractional q -integrals and q -derivatives. Proc. Edinb. Math. Soc. 1966-1967, 15:135-140.
-
(1966)
Proc. Edinb. Math. Soc
, vol.15
, pp. 135-140
-
-
Al-Salam, W.A.1
-
31
-
-
84971113538
-
Certain fractional q-integrals and q-derivatives
-
0179.16901 10.1017/S0305004100045060
-
Agarwal R: Certain fractional q -integrals and q -derivatives. Proc. Camb. Philos. Soc. 1969, 66:365-370.
-
(1969)
Proc. Camb. Philos. Soc
, vol.66
, pp. 365-370
-
-
Agarwal, R.1
-
32
-
-
84860466937
-
Positive solutions for boundary value problem of nonlinear fractional q-difference equation
-
2011 Article ID 385459
-
El-Shahed M, Al-Askar F: Positive solutions for boundary value problem of nonlinear fractional q -difference equation. ISRN Math. Anal. 2011., 2011: Article ID 385459
-
(2011)
ISRN Math. Anal
-
-
El-Shahed, M.1
Al-Askar, F.2
-
33
-
-
78651236363
-
Positive solutions for a class of boundary value problems with fractional q-differences
-
2754144 1216.39013 10.1016/j.camwa.2010.11.012
-
Ferreira RAC: Positive solutions for a class of boundary value problems with fractional q -differences. Comput. Math. Appl. 2011, 61:367-373.
-
(2011)
Comput. Math. Appl
, vol.61
, pp. 367-373
-
-
Ferreira, R.A.C.1
-
34
-
-
85086615474
-
Nontrivial solutions for fractional q-difference boundary value problems
-
Ferreira RAC: Nontrivial solutions for fractional q -difference boundary value problems. Electron. J. Qual. Theory Differ. Equ. 2010,2010(70):1-10.
-
(2010)
Electron. J. Qual. Theory Differ. Equ
, vol.2010
, Issue.70
, pp. 1-10
-
-
Ferreira, R.A.C.1
-
35
-
-
84860430866
-
Positive solutions for a class of higher order boundary value problems with fractional q-derivatives
-
doi:10.1016/j.amc.2012.03.006
-
Graef JR, Kong L: Positive solutions for a class of higher order boundary value problems with fractional q -derivatives. Appl. Math. Comput. 2012. doi:10.1016/j.amc.2012.03.006
-
(2012)
Appl. Math. Comput
-
-
Graef, J.R.1
Kong, L.2
-
36
-
-
85086493322
-
Existence of solutions for multi-point boundary value problem of fractional q-difference equation
-
2861421
-
Ma J, Yang J: Existence of solutions for multi-point boundary value problem of fractional q -difference equation. Electron. J. Qual. Theory Differ. Equ. 2011,2011(92):1-10.
-
(2011)
Electron. J. Qual. Theory Differ. Equ
, vol.2011
, Issue.92
, pp. 1-10
-
-
Ma, J.1
Yang, J.2
-
41
-
-
0003838373
-
-
Cambridge University Press Cambridge 0427.47036
-
Smart DR: Fixed Point Theorems. Cambridge University Press, Cambridge; 1980.
-
(1980)
Fixed Point Theorems
-
-
Smart, D.R.1
|