Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation. (English) Zbl 1221.65278

Summary: We adopt the homotopy analysis method (HAM) to obtain solutions of linear and nonlinear fractional diffusion and wave equation. The fractional derivative is described in the Caputo sense. Some illustrative examples are presented.


65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
35G15 Boundary value problems for linear higher-order PDEs
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