(5)Two efficient reliable methods for solving fractional fifth order modified Sawada–Kotera equation appearing in mathematical physics

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S. Saha Ray , S. Sahoo
National Institute of Technology, Department of Mathematics, Rourkela 769008, India

Received 4 June 2016; accepted 27 June 2016
Available online 20 August 2016

Abstract
The present paper deals with two reliable efficient methods viz. tanh-sech method and modified Kudryashov method, which are used to solve time-fractional nonlinear evolution equation. For delineating the legitimacy of proposed methods, we employ it to the time-fractional fifth-order modified Sawada–Kotera equations. As a consequence, we effectively obtained more new exact solutions for time-fractional fifth-order modified Sawada–Kotera equation. We have also presented the numerical simulations for time-fractional fifth-order modified Sawada–Kotera equation by means of three dimensional plots.
© 2016 Shanghai Jiaotong University. Published by Elsevier B.V.
This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ ).

Keywords: Time-fractional fifth-order modified Sawada–Kotera equation; Local fractional calculus; Tanh-sech method; Modified Kudryashov method.