In this paper, the homotopy analysis method is applied to obtain the solution of fractional partial differential equations with spatial and temporal fractional derivatives in Riesz and Caputo senses, respectively. Some properties of Riesz fractional derivative utilized in obtaining the series soluti
A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations
β Scribed by Zaid Odibat; Shaher Momani; Hang Xu
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 299 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0307-904X
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π SIMILAR VOLUMES
In this paper, 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.
differential equations of fractional order a b s t r a c t The variational iteration method is widely used in approximate calculation. The main difficulty of the method is to identify the Lagrange multiplier, k, for differential equations of fractional order, especially of high order, where the pro
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.