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Exact and approximate solutions of time-fractional models arising from physics via Shehu transform
Authors:Lanre Akinyemi  Olaniyi S. Iyiola
Affiliation:1. Department of Mathematics, Ohio University, Athens, Ohio, USA;2. Department of Mathematics, Computer Science & Information System, California University of Pennsylvania, California, Pennsylvania, USA
Abstract: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.
Keywords:fractional differential equation  iterative method  Mittag–Leffler function  Shehu transform
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