1HE Ji-huan. Nonlinear Oscillation with Fractional Derivative and Its Applications, in- International Con- ference on Vibrating Engineering'98[C]. Dalian: Northeastern University Press, 1998.
2HE Ji-huan. Some applications of nonlinear fractional differential equations and their approximations[J]. Bull Sei Technol, 1999, 15: 86-90.
3ADOMIAN G, RACH R. Analytic solution of nonlinear boundary-value problems in several dimensions[J]. J Math Anal Appl, 1993, 174: 118-127.
4ADOMIAN G, ELORD M, RACH R. New approach to boundary value equations and application to a generalization of Airy's equation[J]. J Math Anal Appl, 1989, 140: 554-568.
5JAFARI H, DAFTARDAR-GEJJI V. Solving linear and non-linear fractional diffusion and wave equations by Adomian decomposition[J]. Appl Math Comput, 2006, 180: 488-497.
6METZLER R, KLAFTER J. Boundary value problems for fractional diffusion equations[J]. Physica A, 2000, 278: 107-125.
7WAZWAZ A. A reliable algorithm for obtaining positive solutions for nonlinear boundary value problems[J]. Comput Math Appl, 2001, 41: 1237-1244.
8ADOMIAN G. A review of the decomposition method in applied mathematics[J]. J Math Anal Appl, 1988, 135: 501-544.
9ADOMIAN G. Solving Frontier Problems of Physics: The Decomposition Method[M]. Boston: Kluwer Academic Publishers, 1994.
10BIAZAR J, BABOLIAN E, ISLAM R. Solution of the system of ordinary differential equations by Adomian decomposition method[J]. Appl Math Comput, 2004, 147 (3): 713-719.
同被引文献13
1PODLUBNY I. Fractional Differential Equations[M]. San Diego: Academic Press, 1999.
2KILBAS A A, SRIVASTAVA M, TRUJILLO J J. Theory and Applications of Fractional Differential Equa- tions[M]. Amterdam: Elsevier Science Limited, 2006.
3LAKSHMIKANTHAM V, LEELA S, VASUNDHARA DEVI J. Theory of Fractional Dynamic Systems[M]. Cambridge: Cambridge Academic Publishers, 2009.
4MILLER K S, ROSS B. An Introduction to the Fractional Calculus and Fractional Differential Equations[M]. New York: Wiley, 1993.
5HOLM M. The Lapace transform in discrete fractional calculus[J]. Computers Mathematics with Applica- tions, 2011, 62(2): 1591-1601.
6ABDELJAWAD T. On Rieman and Caputo fractional difference[J]. Comput Math Appl, 2011, 62(3): 1602- 1611.
7ATICI F M, ELOE P W. Initial value problems in discrete fractional calculus[J]. Pro Amer Math-Soc, 2009 137(2): 981-989.
8GOODRICH C S. Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions[J]. Computers Mathematics with Applications, 2011, 62(3): 1251-1268.
9GOODRICH C S. On discrete sequential fractional boundary value problems[J]. Journal of Mathematical Analysis and Applications, 2011, 385(1): 111-124.
10GOODRICH C S. Existence of a positive solution to a system of discrete fractional boundary value prob- lems[J]. Applied Mathematics and Computation, 2011, 217(9): 4740-4753.