-
1
-
-
77949264980
-
A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
-
Agarwal, R.P., Benchohra, M., Hamani, S., A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions. Acta Appl. Math. 109 (2010), 973–1033.
-
(2010)
Acta Appl. Math.
, vol.109
, pp. 973-1033
-
-
Agarwal, R.P.1
Benchohra, M.2
Hamani, S.3
-
2
-
-
64549148828
-
Series solutions of non-linear Riccati differential equations with fractional order
-
Cang, J., Tan, Y., Xu, H., Liao, S.J., Series solutions of non-linear Riccati differential equations with fractional order. Chaos Solitons Fractals 40:1 (2009), 1–9.
-
(2009)
Chaos Solitons Fractals
, vol.40
, Issue.1
, pp. 1-9
-
-
Cang, J.1
Tan, Y.2
Xu, H.3
Liao, S.J.4
-
3
-
-
0036650479
-
A predictor-corrector approach for the numerical solution of fractional differential equations
-
Diethelm, K., Ford, N., Freed, A., A predictor-corrector approach for the numerical solution of fractional differential equations. Nonlinear Dynam. 29 (2002), 3–22.
-
(2002)
Nonlinear Dynam.
, vol.29
, pp. 3-22
-
-
Diethelm, K.1
Ford, N.2
Freed, A.3
-
4
-
-
4043121080
-
Detailed error analysis for a fractional Adams Method
-
Diethelm, K., Ford, N., Freed, A., Detailed error analysis for a fractional Adams Method. Numer. Algorithms 36 (2004), 31–52.
-
(2004)
Numer. Algorithms
, vol.36
, pp. 31-52
-
-
Diethelm, K.1
Ford, N.2
Freed, A.3
-
5
-
-
0032115069
-
Nonlinear functional differential equations of arbitrary orders
-
El-Sayed, A.M.A., Nonlinear functional differential equations of arbitrary orders. Nonlinear Anal. 33 (1998), 181–186.
-
(1998)
Nonlinear Anal.
, vol.33
, pp. 181-186
-
-
El-Sayed, A.M.A.1
-
6
-
-
85070226500
-
-
Existence of solutions for a class of fractional boundary value problems via critical point theory. Comput. Math. Appl. (preprint).
-
J. Feng, Z. Yong, Existence of solutions for a class of fractional boundary value problems via critical point theory. Comput. Math. Appl. (preprint).
-
-
-
Feng, J.1
Yong, Z.2
-
7
-
-
1242327688
-
Differential equations of fractional order: methods, results and problems I
-
Kilbas, A.A., Trujillo, J.J., Differential equations of fractional order: methods, results and problems I. Appl. Anal. 78 (2001), 153–192.
-
(2001)
Appl. Anal.
, vol.78
, pp. 153-192
-
-
Kilbas, A.A.1
Trujillo, J.J.2
-
8
-
-
25144514177
-
Differential equations of fractional order: methods, results and problems II
-
Kilbas, A.A., Trujillo, J.J., Differential equations of fractional order: methods, results and problems II. Appl. Anal. 81 (2002), 435–493.
-
(2002)
Appl. Anal.
, vol.81
, pp. 435-493
-
-
Kilbas, A.A.1
Trujillo, J.J.2
-
9
-
-
77956684069
-
Theory and Applications of Fractional Differential Equations
-
Elsevier Science B.V Amsterdam
-
Kilbas, A.A., Srivastava, H.M., Trujillo, J.J., 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
-
10
-
-
53949111458
-
Basic theory of fractional differential equations
-
Lakshmikantham, V., Vatsala, A.S., Basic theory of fractional differential equations. Nonlinear Anal. TMA 69:8 (2008), 2677–2682.
-
(2008)
Nonlinear Anal. TMA
, vol.69
, Issue.8
, pp. 2677-2682
-
-
Lakshmikantham, V.1
Vatsala, A.S.2
-
11
-
-
0000394603
-
Multiple positive fixed points of nonlinear operators on ordered Banach spaces
-
Leggett, R.W., Williams, L.R., Multiple positive fixed points of nonlinear operators on ordered Banach spaces. Indiana Univ. Math. J. 28 (1979), 673–688.
-
(1979)
Indiana Univ. Math. J.
, vol.28
, pp. 673-688
-
-
Leggett, R.W.1
Williams, L.R.2
-
12
-
-
0001407424
-
The fundamental solution of the space-time fractional diffusion equation
-
Mainardi, F., Luchko, Y., Pagnini, G., The fundamental solution of the space-time fractional diffusion equation. Fract. Calc. Appl. Anal. 4 (2001), 153–192.
-
(2001)
Fract. Calc. Appl. Anal.
, vol.4
, pp. 153-192
-
-
Mainardi, F.1
Luchko, Y.2
Pagnini, G.3
-
13
-
-
0003492056
-
An Introduction to the Fractional Calculus and Fractional Differential Equations
-
Wiley New York
-
Miller, K.S., Ross, B., An Introduction to the Fractional Calculus and Fractional Differential Equations. 1993, Wiley, New York.
-
(1993)
-
-
Miller, K.S.1
Ross, B.2
-
14
-
-
47849126401
-
A novel method for nonlinear fractional partial differential equations: combination of DTM and generalized Taylor's formula
-
Momani, S., Odibat, Z., A novel method for nonlinear fractional partial differential equations: combination of DTM and generalized Taylor's formula. J. Comput. Appl. Math. 220:1–2 (2008), 85–95.
-
(2008)
J. Comput. Appl. Math.
, vol.220
, Issue.1-2
, pp. 85-95
-
-
Momani, S.1
Odibat, Z.2
-
15
-
-
74149085984
-
An algorithm for the numerical solution of differential equations of fractional order
-
Odibat, Z., Momani, S., An algorithm for the numerical solution of differential equations of fractional order. J. Appl. Math. Inform. 26:1-2 (2008), 15–27.
-
(2008)
J. Appl. Math. Inform.
, vol.26
, Issue.1-2
, pp. 15-27
-
-
Odibat, Z.1
Momani, S.2
-
16
-
-
34548384362
-
Numerical methods for nonlinear partial differential equations of fractional order
-
Odibat, Z., Momani, S., Numerical methods for nonlinear partial differential equations of fractional order. Appl. Math. Modelling 32:12 (2008), 28–39.
-
(2008)
Appl. Math. Modelling
, vol.32
, Issue.12
, pp. 28-39
-
-
Odibat, Z.1
Momani, S.2
-
17
-
-
35348869861
-
Modified homotopy perturbation method: application to quadratic Riccati differential equation of fractional order
-
Odibat, Z., Momani, S., Modified homotopy perturbation method: application to quadratic Riccati differential equation of fractional order. Chaos Solitons Fractals 36:1 (2008), 167–174.
-
(2008)
Chaos Solitons Fractals
, vol.36
, Issue.1
, pp. 167-174
-
-
Odibat, Z.1
Momani, S.2
-
18
-
-
0003797958
-
Fractional Differential Equations
-
Academic Press New York
-
Podlubny, I., Fractional Differential Equations. 1999, Academic Press, New York.
-
(1999)
-
-
Podlubny, I.1
-
19
-
-
0003727516
-
The Laplace Transform Method for Linear Differential Equations of Fractional Order
-
Slovac Academy of Science Slovak Republic
-
Podlubny, I., The Laplace Transform Method for Linear Differential Equations of Fractional Order. 1994, Slovac Academy of Science, Slovak Republic.
-
(1994)
-
-
Podlubny, I.1
-
20
-
-
0003598080
-
Fractional Integrals and Derivatives: Theory and Applications
-
Gordon and Breach Amsterdam
-
Samko, G., Kilbas, A., Marichev, O., Fractional Integrals and Derivatives: Theory and Applications. 1993, Gordon and Breach, Amsterdam.
-
(1993)
-
-
Samko, G.1
Kilbas, A.2
Marichev, O.3
-
21
-
-
0001553919
-
Fractional diffusion and wave equations
-
Schneider, W., Wyss, W., Fractional diffusion and wave equations. J. Math. Phys. 30 (1989), 134–144.
-
(1989)
J. Math. Phys.
, vol.30
, pp. 134-144
-
-
Schneider, W.1
Wyss, W.2
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