Analytical Solutions of (2+Time Fractional Order) Dimensional Physical Models, Using Modified Decomposition Method

Applied Sciences

Muhammad Arif¹  Poom Kumam²  Hassan Khan³  Rasool Shah³  Umar Farooq³  Dumitru Baleanu⁴ 

[1] Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand;;Center of Excellence in Theoretical and Computational Science (TaCS-CoE) &Department of Mathematics, Abdul Wali khan University, Mardan 23200, Pakistan;Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey;

关键词: shehu transformation;    adomian decomposition;    analytical solution;    caputo derivatives;    (2+time fractional-order) dimensional physical models;   

DOI  :  10.3390/app10010122

来源: DOAJ

【 摘 要 】

In this article, a new analytical technique based on an innovative transformation is used to solve (2+time fractional-order) dimensional physical models. The proposed method is the hybrid methodology of Shehu transformation along with Adomian decomposition method. The series form solution is obtained by using the suggested method which provides the desired rate of convergence. Some numerical examples are solved by using the proposed method. The solutions of the targeted problems are represented by graphs which have confirmed closed contact between the exact and obtained solutions of the problems. Based on the novelty and straightforward implementation of the method, it is considered to be one of the best analytical techniques to solve linear and non-linear fractional partial differential equations.

【 授权许可】

Unknown