Laplace decomposition for solving nonlinear system of fractional order partial differential equations

Advances in Difference Equations

article

Khan, Hassan¹  Shah, Rasool¹  Kumam, Poom²  Baleanu, Dumitru⁴  Arif, Muhammad¹ 

[1] Department of Mathematics, Abdul Wali khan University;Theoretical and Computational Science (TaCS) Center Department of Mathematics, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT);Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics, Faculty of Arts and Sciences, Cankaya University;Institute of Space Sciences

关键词: Caputo operator;    Adomian decomposition method;    Laplace transformation;    Fractional systems of partial differential equations;   

DOI  :  10.1186/s13662-020-02839-y

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In the present article a modified decomposition method is implemented to solve systems of partial differential equations of fractional-order derivatives. The derivatives of fractional-order are expressed in terms of Caputo operator. The validity of the proposed method is analyzed through illustrative examples. The solution graphs have shown a close contact between the exact and LADM solutions. It is observed that the solutions of fractional-order problems converge towards the solution of an integer-order problem, which confirmed the reliability of the suggested technique. Due to better accuracy and straightforward implementation, the extension of the present method can be made to solve other fractional-order problems.

【 授权许可】

CC BY