-
1
-
-
70450183004
-
Numerical solution for multi-term fractional arbitrary orders differential equations
-
El-sayed A M A, El-mesiry A E M and El-saka H A A 2004 Numerical solution for multi-term fractional (arbitrary) orders differential equations Comput. Appl. Math. 23 33-54
-
(2004)
Comput. Appl. Math.
, vol.23
, Issue.1
, pp. 3354
-
-
El-Sayed, A.M.A.1
El-Mesiry, A.E.M.2
El-Saka, H.A.A.3
-
2
-
-
0001618393
-
An algorithm for the numerical solution of differential equations of fractional order
-
Diethelm K 1997 An algorithm for the numerical solution of differential equations of fractional order Electron. Trans. Numer. Anal. 5 1-6 (Pubitemid 38870919)
-
(1997)
Electronic Transactions on Numerical Analysis
, vol.5
, pp. 1-6
-
-
Diethelm, K.1
-
4
-
-
0037113861
-
The numerical solution of linear multi-term fractional differential equations: Systems of equations
-
Edwards J T, Ford N J and Simpson A C 2002 The numerical solution of linear multi-term fractional differential equations: systems of equations J. Comput. Appl. Math. 148 401-18
-
(2002)
J. Comput. Appl. Math.
, vol.148
, Issue.2
, pp. 401-418
-
-
Edwards, J.T.1
Ford, N.J.2
Simpson, A.C.3
-
5
-
-
33748663764
-
Numerical solution of linear multi-term initial value problems of fractional order
-
Diethelm K and Luchko Y 2004 Numerical solution of linear multi-term initial value problems of fractional order J.Comput. Anal. Appl. 6 243-63
-
(2004)
J.Comput. Anal. Appl.
, vol.6
, pp. 243-263
-
-
Diethelm, K.1
Luchko, Y.2
-
6
-
-
70450163815
-
Multi-term fractional differential equations, multi-order fractional differential systems and their numerical solution
-
Diethelm K and Ford N J 2008 Multi-term fractional differential equations, multi-order fractional differential systems and their numerical solution J. Eur. Syst. Autom. 42 665-76
-
(2008)
J. Eur. Syst. Autom.
, vol.42
, Issue.6-8
, pp. 665-676
-
-
Diethelm, K.1
Ford, N.J.2
-
9
-
-
17444364074
-
Analytical solution of a dynamic system containing fractional derivative of order one-half by Adomian decomposition method
-
Saha Ray S and Bera R K 2005 Analytical solution of a dynamic system containing fractional derivative of order one-half by Adomian decomposition method Trans. ASME J.Appl. Mech. 72 290-5
-
(2005)
Trans. ASME J.Appl. Mech.
, vol.72
, pp. 290-295
-
-
Saha Ray, S.1
Bera, R.K.2
-
10
-
-
24944478244
-
An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method
-
Ray S S and Bera R K 2005 An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method Appl. Math. Comput. 167 561-71
-
(2005)
Appl. Math. Comput.
, vol.167
, Issue.1
, pp. 561-571
-
-
Ray, S.S.1
Bera, R.K.2
-
11
-
-
33344463928
-
Analytical solution of a fractional diffusion equation by Adomian decomposition method
-
Ray S S and Bera R K 2006 Analytical solution of a fractional diffusion equation by Adomian decomposition method Appl. Math. Comput. 174 329-36
-
(2006)
Appl. Math. Comput.
, vol.174
, Issue.1
, pp. 329-336
-
-
Ray, S.S.1
Bera, R.K.2
-
12
-
-
33947692255
-
Exact solutions for time-fractional diffusion-wave equations by decomposition method
-
Ray S S 2007 Exact solutions for time-fractional diffusion-wave equations by decomposition method Phys. Scri. 75 53-61
-
(2007)
Phys. Scri.
, vol.75
, pp. 53-61
-
-
Ray, S.S.1
-
13
-
-
48349141442
-
A new approach for the application of Adomian decomposition method for the solution of fractional space diffusion equation with insulated ends
-
Ray S S 2008 A new approach for the application of Adomian decomposition method for the solution of fractional space diffusion equation with insulated ends Appl. Math. Comput. 202 544-9
-
(2008)
Appl. Math. Comput.
, vol.202
, Issue.2
, pp. 544-549
-
-
Ray, S.S.1
-
14
-
-
34548530905
-
Chaotic dynamics of the fractionally damped Van der Pol equation
-
Chen J H and Chen W C 2008 Chaotic dynamics of the fractionally damped Van der Pol equation Chaos Soliton Fractals 35 188-98
-
(2008)
Chaos Soliton Fractals
, vol.35
, Issue.1
, pp. 188-198
-
-
Chen, J.H.1
Chen, W.C.2
-
15
-
-
84977255207
-
Linear models of dissipation whose Q is almost frequency independent. Part II
-
Caputo M 1967 Linear models of dissipation whose Q is almost frequency independent. Part II Geophys. J. R. Astron. Soc. 13 529-39
-
(1967)
Geophys. J. R. Astron. Soc.
, vol.13
, pp. 529-539
-
-
Caputo, M.1
-
20
-
-
51649182765
-
Linear models of dissipation in an elastic solids
-
Caputo M and Mainardi F 1971 Linear models of dissipation in an elastic solids Riv. Nuovo Cimento II 1 161-98
-
(1971)
Riv. Nuovo Cimento II
, vol.1
, Issue.2
, pp. 161-198
-
-
Caputo, M.1
Mainardi, F.2
-
21
-
-
0001983732
-
Fractional calculus: Some basic problems in continuum and statistical mechanics
-
Mainardi F 1997 Fractional calculus: some basic problems in continuum and statistical mechanics Fractals and Fractional Calculus in Continuum Mechanics ed A Carpinteri and F Mainardi (Vienna: Springer) pp 291-348
-
(1997)
Fractals and Fractional Calculus in Continuum Mechanics
, pp. 291-348
-
-
Mainardi, F.1
-
22
-
-
0032672778
-
Homotopy perturbation technique
-
He J H 1999 Homotopy perturbation technique Comput. Methods Appl. Mech. Eng. 178 257-62
-
(1999)
Comput. Methods Appl. Mech. Eng.
, vol.178
, Issue.3-4
, pp. 257-262
-
-
He, J.H.1
|