Homotopy analysis method for fractional IVPs. (English) Zbl 1221.65277

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.


65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
45A05 Linear integral equations
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