-
2
-
-
33748425302
-
Numerical comparison of methods for solving linear differential equations of fractional order
-
DOI 10.1016/j.chaos.2005.10.068, PII S0960077905010374
-
S. Momani, Z. Odibat, Numerical comparison of methods for solving linear differential equations of fractional order. Chaos, Solitons & Fractals 31 (5) (2007),1248-1255. (Pubitemid 44345225)
-
(2007)
Chaos, Solitons and Fractals
, vol.31
, Issue.5
, pp. 1248-1255
-
-
Momani, S.1
Odibat, Z.2
-
3
-
-
0037174280
-
Analytical approximate solutions for nonlinear fractional differential equations
-
DOI 10.1016/S0096-3003(01)00167-9, PII S0096300301001679
-
N.T. Shawagfeh, Analytical approximate solutions for nonlinear fractional differential equations. Applied Mathematics and Computation 131(2-3) (2002),517-529. (Pubitemid 34813503)
-
(2002)
Applied Mathematics and Computation
, vol.131
, Issue.2-3
, pp. 517-529
-
-
Shawagfeh, N.T.1
-
4
-
-
24944478244
-
An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method
-
DOI 10.1016/j.amc.2004.07.020, PII S0096300304005132
-
S.S. Ray, R.K. Bera, An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method. Applied Mathematics and Computation 167 (1) (2005),561-571. (Pubitemid 41316348)
-
(2005)
Applied Mathematics and Computation
, vol.167
, Issue.1
, pp. 561-571
-
-
Ray, S.S.1
Bera, R.K.2
-
5
-
-
39849097024
-
Analytical solution of the linear fractional differential equation by Adomian decomposition method
-
DOI 10.1016/j.cam.2007.04.005, PII S0377042707001987
-
Y. Hu, Y. Luo, Z. Lu, Analytical solution of the linear fractional differential equation by Adomian decomposition method. Journal of Computational and Applied Mathematics 215 (1) (2008),220-229. (Pubitemid 351318114)
-
(2008)
Journal of Computational and Applied Mathematics
, vol.215
, Issue.1
, pp. 220-229
-
-
Hu, Y.1
Luo, Y.2
Lu, Z.3
-
6
-
-
30344464250
-
Application of variational iteration method to nonlinear differential equations of fractional order
-
Z. Odibat, S. Momani, Application of variational iteration method to nonlinear differential equations of fractional order, Int. J. Nonlinear Sci. Numer. Simul. 7 (1) (2006) 15-27.
-
(2006)
Int. J. Nonlinear Sci. Numer. Simul.
, vol.7
, Issue.1
, pp. 15-27
-
-
Odibat, Z.1
Momani, S.2
-
7
-
-
34250647432
-
An approximation solution of a nonlinear equation with Riemann-Liouville's fractional derivatives by He's variational iteration method
-
DOI 10.1016/j.cam.2006.07.011, PII S0377042706004602, Variational Iteration Method-Reality, Potential, and Challenges
-
S. Abbasbandy, An approximation solution of a nonlinear equation with Riemann- Liouville's fractional derivatives by He's variational iteration method. Journal of Computational and Applied Mathematics 207 (1) (2007), 53-58. (Pubitemid 46935385)
-
(2007)
Journal of Computational and Applied Mathematics
, vol.207
, Issue.1
, pp. 53-58
-
-
Abbasbandy, S.1
-
8
-
-
37549050173
-
Solving systems of fractional differential equations by homotopy-perturbation method
-
O. Abdulaziz, I. Hashim, S. Momani, Solving systems of fractional differential equations by homotopy-perturbation method. Physics Letters A 372 (4) (2008), 451-459.
-
(2008)
Physics Letters A
, vol.372
, Issue.4
, pp. 451-459
-
-
Abdulaziz, O.1
Hashim, I.2
Momani, S.3
-
9
-
-
35349007940
-
Numerical studies for a multi-order fractional differential equation
-
N.H. Sweilam, M.M. Khader, R. F. Al-Bar, Numerical studies for a multi-order fractional differential equation, Physics Letters A 371 (1-2) (2007), 26-33.
-
(2007)
Physics Letters A
, vol.371
, Issue.1-2
, pp. 26-33
-
-
Sweilam, N.H.1
Khader, M.M.2
Al-Bar, R.F.3
-
10
-
-
41949112904
-
Application of homotopy-perturbation method to fractional IVPs
-
DOI 10.1016/j.cam.2007.06.010, PII S0377042707003081
-
O. Abdulaziz, I. Hashim, S. Momani, Application of homotopy-perturbation method to fractional IVPs. Journal of Computational and Applied Mathematics 216 (2) (2008), 574-584. (Pubitemid 351509724)
-
(2008)
Journal of Computational and Applied Mathematics
, vol.216
, Issue.2
, pp. 574-584
-
-
Abdulaziz, O.1
Hashim, I.2
Momani, S.3
-
11
-
-
64549148828
-
Series solutions of non-linear Riccati differential equations with fractional order
-
J. Cang, Y. Tan, H .Xu, S.J. Liao, 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
-
12
-
-
34250215244
-
Solution of fractional differential equations by using differential transform method
-
DOI 10.1016/j.chaos.2006.09.004, PII S0960077906008150
-
A. Arikoglu, I. Özkol, Solution of fractional differential equations by using differential transform method. Chaos, Solitons & Fractals 34 (5) (2007), 1473-1481. (Pubitemid 46907585)
-
(2007)
Chaos, Solitons and Fractals
, vol.34
, Issue.5
, pp. 1473-1481
-
-
Arikoglu, A.1
Ozkol, I.2
-
13
-
-
37749035318
-
A new analytical approximate method for the solution of fractional differential equations
-
G. Oturanç, A. Kurnaz, Y. Keskin, A new analytical approximate method for the solution of fractional differential equations. International Journal of Computer Mathematics 85 (1) (2008), 131-142.
-
(2008)
International Journal of Computer Mathematics
, vol.85
, Issue.1
, pp. 131-142
-
-
Oturanç, G.1
Kurnaz, A.2
Keskin, Y.3
-
14
-
-
39849101342
-
Solving systems of fractional differential equations using differential transform method
-
DOI 10.1016/j.cam.2007.03.029, PII S0377042707001811
-
V.S. Ertürk, S. Momani, Solving systems of fractional differential equations using differential transform method. Journal of Computational and Applied Mathematics 215 (1) (2008), 142-151. (Pubitemid 351318110)
-
(2008)
Journal of Computational and Applied Mathematics
, vol.215
, Issue.1
, pp. 142-151
-
-
Erturk, V.S.1
Momani, S.2
-
15
-
-
27944433953
-
A Taylor collocation method for the solution of linear integro-differential equations
-
DOI 10.1080/00207160212116
-
A. Karamete, M. Sezer, A. Taylor Collocation Method for the Solution of Linear Integro-Differential Equations. International Journal of Computer Mathematics 79 (9) (2002), 987-1000. (Pubitemid 41710603)
-
(2002)
International Journal of Computer Mathematics
, vol.79
, Issue.9
, pp. 987-1000
-
-
Karamete, A.1
Sezer, M.2
-
16
-
-
46249090052
-
A Taylor polynomial approach for solving generalized panto- graph equations with nonhomogenousterm
-
M. Sezer, S. Yalcinbas, M. Gulsu, A Taylor polynomial approach for solving generalized panto- graph equations with nonhomogenousterm, International Journal of Computer Mathematics 85 (2008) 1055-1063.
-
(2008)
International Journal of Computer Mathematics
, vol.85
, pp. 1055-1063
-
-
Sezer, M.1
Yalcinbas, S.2
Gulsu, M.3
-
17
-
-
0002847893
-
Fractional calculus: Integral and differential equations of fractional order
-
Carpinteri A, Mainardi F. (Eds.), (Vienna: Springer)
-
R. Gorenflo, F. Mainardi, Fractional calculus: integral and differential equations of fractional order, In: Carpinteri A, Mainardi F. (Eds.). Fractals and Fractional Calculus in Continuum Mechanics. 1997. p. 223-276, (Vienna:Springer).
-
(1997)
Fractals and Fractional Calculus in Continuum Mechanics
, pp. 223-276
-
-
Gorenflo, R.1
Mainardi, F.2
-
18
-
-
33947277891
-
Generalized Taylor's formula
-
DOI 10.1016/j.amc.2006.07.102, PII S0096300306009398
-
Z. Odibat, N.T. Shawagfeh, Generalized Taylor's Formula. Applied Mathematics and Computation 186 (1) (2007), 286-293. (Pubitemid 46435616)
-
(2007)
Applied Mathematics and Computation
, vol.186
, Issue.1
, pp. 286-293
-
-
Odibat, Z.M.1
Shawagfeh, N.T.2
-
19
-
-
4043168480
-
Mixed collocation for fractional differential equations
-
F. Dubois, S. Mengue, Mixed collocation for fractional differential equations. Numerical Algorithms 34 (2003), 303-311. (Pubitemid 39063573)
-
(2003)
Numerical Algorithms
, vol.34
, Issue.2-4
, pp. 303-311
-
-
Dubois, F.1
Mengue, S.2
-
20
-
-
59149098037
-
Existence and approximation of solutions to fractional differential equations
-
M. Muslim, Existence and approximation of solutions to fractional differential equations, Mathematical and Computer Modelling 49 (2009) 1164-1172.
-
(2009)
Mathematical and Computer Modelling
, vol.49
, pp. 1164-1172
-
-
Muslim, M.1
-
21
-
-
0012899160
-
Numerical solution of the Bagley-Torvik equation
-
K. Diethelm, N.J. Ford., Numerical solution of the Bagley-Torvik equation, Bit 42 (2004), 490-507.
-
(2004)
Bit
, vol.2
, pp. 490-507
-
-
Diethelm, K.1
Ford, N.J.2
-
22
-
-
33745712076
-
An approximate method for numerical solution of fractional differential equations
-
P. Kumar, O.P. Agrawal, An approximate method for numerical solution of fractional differential equations. Signal Processing 86 (10) (2006), 2602-2610.
-
(2006)
Signal Processing
, vol.86
, Issue.10
, pp. 2602-2610
-
-
Kumar, P.1
Agrawal, O.P.2
-
24
-
-
74449090235
-
Homotopy analysis method for solving fractional Lorenz system
-
A.K.Alomari, M.S.S.Noorani, R.Nazar, C.P.Li, Homotopy analysis method for solving fractional Lorenz system, Commun Nonlinear Sci Numer Simulat 15 (2010) 1864-1872
-
(2010)
Commun Nonlinear Sci Numer Simulat
, vol.15
, pp. 1864-1872
-
-
Alomari, A.K.1
Noorani, M.S.S.2
Nazar, R.3
Li, C.P.4
-
25
-
-
58149490845
-
Series solutions of systems of nonlinear fractional differential equations
-
A.S. Bataineh, A.K. Alomari, M.S.M. Noorani, I. Hashim, R. Nazar, Series Solutions of Systems of Nonlinear Fractional Differential Equations, Acta Appl Math (2009) 105: 189-198
-
(2009)
Acta Appl Math
, vol.105
, pp. 189-198
-
-
Bataineh, A.S.1
Alomari, A.K.2
Noorani, M.S.M.3
Hashim, I.4
Nazar, R.5
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