Homotopy analysis method for solving multi-term linear and nonlinear diffusion–wave equations of fractional order

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Abstract

In this paper we have used the homotopy analysis method (HAM) to obtain solutions of multi-term linear and nonlinear diffusion–wave equations of fractional order. The fractional derivative is described in the Caputo sense. Some illustrative examples have been presented.

Keywords

Multi-order equations
Homotopy analysis method
Mittag-Leffler function
Caputo fractional derivative

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