期刊
ADVANCES IN DIFFERENCE EQUATIONS
卷 2020, 期 1, 页码 -出版社
SPRINGER
DOI: 10.1186/s13662-020-02839-y
关键词
Caputo operator; Adomian decomposition method; Laplace transformation; Fractional systems of partial differential equations
资金
- Theoretical and Computational Science (TaCS) Center Department of Mathematics, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT). Bang Mod, Thung Khru, Bangkok, Thailand
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.
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