Fractional diffusion equation with double and triple Laplace Adomian decomposition methods | ||||
| MSA Engineering Journal | ||||
| Article 1, Volume 1, Issue 1, March 2022, Page 1-19 PDF (727.08 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/msaeng.2022.222357 | ||||
 View on SCiNiTO | ||||
| Abstract | ||||
| This paper aims to present an analytical and approximation method to get the solution of the space-time fractional diffusion equation. This suggested method is based on a combination of the double and triple Laplace transforms with the Adomain decomposition method. The presented methodology is tested on illustrative examples and the results show that it is a simple, efficient, and reliable method. | ||||
| Keywords | ||||
| Double Laplace transform; Triple Laplace transform; Adomain decomposition method; fractional diffusion equation; Mittag-Leffler function | ||||
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