文章基本信息

标题：Homotopy-Sumudu transforms for solving system of fractional partial differential equations
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作者：A. K. Alomari
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-16
DOI：10.1186/s13662-020-02676-z
出版社：Hindawi Publishing Corporation
摘要：In this paper, we investigate the Sumudu transforms and homotopy analysis method (S-HAM) for solving a system of fractional partial differential equations. A general framework for solving such a kind of problems is presented. The method can also be utilized to solve systems of fractional equations of unequal orders. The algorithm is reliable and robust. Existence and convergence results concerning the proposed solution are given. Numerical examples are introduced to demonstrate the efficiency and accuracy of the algorithm.
关键词：Fractional system of PDEs;Coupled Burger’s equation;Sumudu transform;Fractional calculus;Homotopy analysis method;