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Zbl 1134.26300
Abdulaziz, O.; Hashim, I.; Chowhudry, M.S.H.; Zulkifle, A.K.
Assessment of decomposition method for linear and nonlinear fractional differential equations. (English)
[J] Far East J. Appl. Math. 28, No. 1, 95-112 (2007). ISSN 0972-0960

Summary: The solutions of linear and nonlinear fractional differential equations (FDEs) are considered in this paper. The Adomian decomposition method (ADM) is applied to obtain exact and approximate solutions of the FDEs. The approximate solutions are in terms of rapidly convergent infinite series with easily computable terms. The accuracy of the approximate decomposition solutions is examined against the quadratic numerical scheme (QNS).
MSC 2000:
*26A33 Fractional derivatives and integrals (real functions)
65D32 Quadrature formulas (numerical methods)
41A10 Approximation by polynomials

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