Exact and approximate solutions of time-fractional models arising from physics via Shehu transform

被引:76
作者
Akinyemi, Lanre [1 ]
Iyiola, Olaniyi S. [2 ]
机构
[1] Ohio Univ, Dept Math, Athens, OH 45701 USA
[2] Calif Univ Penn, Dept Math Comp Sci & Informat Syst, California, PA 15419 USA
关键词
fractional differential equation; iterative method; Mittag-Leffler function; Shehu transform; HOMOTOPY ANALYSIS METHOD; ITERATIVE METHOD; EQUATIONS;
D O I
10.1002/mma.6484
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this present investigation, we proposed a reliable and new algorithm for solving time-fractional differential models arising from physics and engineering. This algorithm employs the Shehu transform method, and then nonlinearity term is decomposed. We apply the algorithm to solve many models of practical importance and the outcomes show that the method is efficient, precise, and easy to use. Closed form solutions are obtained in many cases, and exact solutions are obtained in some special cases. Furthermore, solution profiles are presented to show the behavior of the obtained results in other to better understand the effect of the fractional order.
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页码:7442 / 7464
页数:23
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