Homotopy analysis method for solving multi-term linear and nonlinear diffusion-wave equations of fractional order. (English) Zbl 1189.65250
Summary: 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.
MSC:
| 65M99 | Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems |
| 26A33 | Fractional derivatives and integrals |
| 35R11 | Fractional partial differential equations |
| 45K05 | Integro-partial differential equations |
Keywords:
multi-order equations; homotopy analysis method; Mittag-Leffler function; Caputo fractional derivativeReferences:
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