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Assessment of decomposition method for linear and nonlinear fractional differential equations. (English) Zbl 1134.26300
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:
26A33Fractional derivatives and integrals (real functions)
65D32Quadrature and cubature formulas (numerical methods)
41A10Approximation by polynomials