-
1
-
-
33750836071
-
-
J.H. He, Nonlinear oscillation with fractional derivative and its applications, in: International Conference on Vibrating Engineering'98, Dalian, China, 1998, pp. 288-291.
-
-
-
-
2
-
-
0347763940
-
Some applications of nonlinear fractional differential equations and their approximations
-
He J.H. Some applications of nonlinear fractional differential equations and their approximations. Bull. Sci. Technol. 15 2 (1999) 86-90
-
(1999)
Bull. Sci. Technol.
, vol.15
, Issue.2
, pp. 86-90
-
-
He, J.H.1
-
3
-
-
0032307661
-
Approximate analytical solution for seepage flow with fractional derivatives in porous media
-
He J.H. Approximate analytical solution for seepage flow with fractional derivatives in porous media. Comput. Methods Appl. Mech. Eng. 167 (1998) 57-68
-
(1998)
Comput. Methods Appl. Mech. Eng.
, vol.167
, pp. 57-68
-
-
He, J.H.1
-
5
-
-
0001983732
-
Fractional calculus: 'Some basic problems in continuum and statistical mechanics'
-
carpinteri A., and Mainardi F. (Eds), Springer-Verlag, New York
-
Mainardi F. Fractional calculus: 'Some basic problems in continuum and statistical mechanics'. In: carpinteri A., and Mainardi F. (Eds). Fractals and Fractional calculus in Continuum Mechanics (1997), Springer-Verlag, New York 291-348
-
(1997)
Fractals and Fractional calculus in Continuum Mechanics
, pp. 291-348
-
-
Mainardi, F.1
-
6
-
-
0041185368
-
A review of the decomposition method in applied mathematics
-
Adomian G. A review of the decomposition method in applied mathematics. J. Math. Anal. Appl. 135 (1988) 501-544
-
(1988)
J. Math. Anal. Appl.
, vol.135
, pp. 501-544
-
-
Adomian, G.1
-
8
-
-
1642290056
-
Comparing numerical methods for the solutions of systems of ordinary differential equations
-
Shawagfeh N., and Kaya D. Comparing numerical methods for the solutions of systems of ordinary differential equations. Appl. Math. Lett. 17 (2004) 323-328
-
(2004)
Appl. Math. Lett.
, vol.17
, pp. 323-328
-
-
Shawagfeh, N.1
Kaya, D.2
-
9
-
-
17644375945
-
Analytical approximate solutions for nonlinear fractional differential equations
-
Shawagfeh N.T. Analytical approximate solutions for nonlinear fractional differential equations. Appl. Math. Comput. 123 (2001) 133-140
-
(2001)
Appl. Math. Comput.
, vol.123
, pp. 133-140
-
-
Shawagfeh, N.T.1
-
10
-
-
12244291039
-
Numerical solutions for systems of fractional differential equations by the decomposition method
-
Momani S., and Al-Khaled K. Numerical solutions for systems of fractional differential equations by the decomposition method. Appl. Math. Comput. 162 3 (2005) 1351-1365
-
(2005)
Appl. Math. Comput.
, vol.162
, Issue.3
, pp. 1351-1365
-
-
Momani, S.1
Al-Khaled, K.2
-
11
-
-
33750845209
-
-
S. Momani, Numerical simulation of a dynamic system containing fractional derivatives, Int. J. Nonlin. Sci. Numer. Simulat., in press.
-
-
-
-
12
-
-
33750821832
-
-
AY. Luchko, R. Groreflo, The initial value problem for some fractional differential equations with the Caputo derivative, Preprint series A08-98, Fachbreich Mathematik und Informatik, Freic Universitat Berlin, 1998.
-
-
-
-
13
-
-
84977255207
-
Linear models of dissipation whose Q is almost frequency independent. Part II
-
Caputo M. Linear models of dissipation whose Q is almost frequency independent. Part II. J. Roy. Astral. Soc. 13 (1967) 529-539
-
(1967)
J. Roy. Astral. Soc.
, vol.13
, pp. 529-539
-
-
Caputo, M.1
-
15
-
-
0242354999
-
Geometric and physical interpretation of fractional integration and fractional differentiation
-
Podlubny I. Geometric and physical interpretation of fractional integration and fractional differentiation. Fract. Calculus Appl. Anal. 5 (2002) 367-386
-
(2002)
Fract. Calculus Appl. Anal.
, vol.5
, pp. 367-386
-
-
Podlubny, I.1
-
17
-
-
84970868898
-
Convergence of Adomian's method
-
Cherruault Y. Convergence of Adomian's method. Kybernetes 18 (1989) 31-38
-
(1989)
Kybernetes
, vol.18
, pp. 31-38
-
-
Cherruault, Y.1
-
18
-
-
0002588102
-
Nonlinear dynamical systems: on the accuracy of Adomian's decomposition method
-
Rèpaci A. Nonlinear dynamical systems: on the accuracy of Adomian's decomposition method. Appl. Mth. Lett. 3 3 (1990) 35-39
-
(1990)
Appl. Mth. Lett.
, vol.3
, Issue.3
, pp. 35-39
-
-
Rèpaci, A.1
-
19
-
-
0000395259
-
Decomposition methods: a new proof of convergence
-
Cherruault Y., and Adomian G. Decomposition methods: a new proof of convergence. Math. Comput. Modell. 18 (1993) 103-106
-
(1993)
Math. Comput. Modell.
, vol.18
, pp. 103-106
-
-
Cherruault, Y.1
Adomian, G.2
-
20
-
-
43949159125
-
Convergence of Adomian's method applied to differential equations
-
Abbaoui K., and Cherruault Y. Convergence of Adomian's method applied to differential equations. Comput. Math. Appl. 28 5 (1996) 103-109
-
(1996)
Comput. Math. Appl.
, vol.28
, Issue.5
, pp. 103-109
-
-
Abbaoui, K.1
Cherruault, Y.2
-
21
-
-
0000487641
-
New ideas for proving convergence of decomposition methods
-
Abbaoui K., and Cherruault Y. New ideas for proving convergence of decomposition methods. Comput. Math. Appl. 29 7 (1996) 103-108
-
(1996)
Comput. Math. Appl.
, vol.29
, Issue.7
, pp. 103-108
-
-
Abbaoui, K.1
Cherruault, Y.2
-
22
-
-
33646247611
-
Adomian decomposition method for solving BVPs for fourth-order integro-differential equations
-
Hashim I. Adomian decomposition method for solving BVPs for fourth-order integro-differential equations. J. Comput. Appl. Math. 193 (2006) 658-664
-
(2006)
J. Comput. Appl. Math.
, vol.193
, pp. 658-664
-
-
Hashim, I.1
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