#### Authors:

Md. Tarikul Islam, M. Ali Akbar,Md. Abul Kalam Azad,#### DOI NO:

https://doi.org/10.26782/jmcms.2018.06.00004#### Keywords:

The fractional generalized (D G/G)-expansion method, the expfunction method,the extended tanh method,nonlinear fractional PDEs,conformable fractional derivative, composite transformation,closed form solutions,#### Abstract

**Abstract**In this paper, the analytical solutions to the space-time fractional modified Benjamin-Bona-Mahony (mBBM) equation involving conformable fractional derivative in science and engineering are examined by using the proposed fractional generalized (D G/G)-expansion method, the Exp-function method and the extended tanh method. The suggested equation is converted into ordinary differential equation of fractional order with the aid of a suitable composite transformation and then the methods are applied to construct the solutions. The methods successfully provide many new and more general closed form traveling wave solutions. The obtained solutions may be more effective to analyze the nonlinear physical phenomena relevance to science and engineering than the existing results in literature. The performance of the proposed method is highly noticeable and this method will be used in further works to establish more entirely new solutions for other kinds of nonlinear fractional PDEs.

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Author(s): Md. Tarikul Islam, M. Ali Akbar and Md. Abul Kalam Azad View Download