Fractional diffusion equation with double and triple Laplace Adomian decomposition methods
(2022). Fractional diffusion equation with double and triple Laplace Adomian decomposition methods. EKB Journal Management System, 1(1), 1-19. doi: 10.21608/msaeng.2022.222357
. "Fractional diffusion equation with double and triple Laplace Adomian decomposition methods". EKB Journal Management System, 1, 1, 2022, 1-19. doi: 10.21608/msaeng.2022.222357
(2022). 'Fractional diffusion equation with double and triple Laplace Adomian decomposition methods', EKB Journal Management System, 1(1), pp. 1-19. doi: 10.21608/msaeng.2022.222357
Fractional diffusion equation with double and triple Laplace Adomian decomposition methods. EKB Journal Management System, 2022; 1(1): 1-19. doi: 10.21608/msaeng.2022.222357

Fractional diffusion equation with double and triple Laplace Adomian decomposition methods

MSA Engineering Journal
Article 1, Volume 1, Issue 1, March 2022, Pages 1-19    PDF (727.08 K)
Document Type: Original Article
DOI: 10.21608/msaeng.2022.222357
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
Statistics
Article View: 267
PDF Download: 625