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Zbl 1221.65277
Hashim, I.; Abdulaziz, O.; Momani, S.
Homotopy analysis method for fractional IVPs. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 14, No. 3, 674-684 (2009). ISSN 1007-5704

Summary: The homotopy analysis method is applied to solve linear and nonlinear fractional initial-value problems (fIVPs). The fractional derivatives are described by Caputo's sense. Exact and/or approximate analytical solutions of the fIVPs are obtained. The results of applying this procedure to the studied cases show the high accuracy and efficiency of the approach.
MSC 2000:
*65M99 Numerical methods for IVP of PDE
45A05 Linear integral equations

Keywords: fractional IVPs; homotopy analysis method; Caputo's fractional derivative

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