Approximate Analytical Solutions of Conformable Time Fractional Clannish Random Walker's Parabolic(CRWP) Equation and Modified Benjamin-Bona-Mahony(BBM) equation

Authors : Emrah Atilgan, Orkun Taşbozan, Ali Kurt, Syed Tauseef Mohyud-din

Pages : 61-68

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Publication Date : 2020-06-22

Article Type : Research

Abstract :In this paper, we propose the approximate analytical solutions of conformable time fractional Clannish Random Walker's Parabolic(CRWP) equation and Modified Benjamin-Bona-Mahony(BBM) equation with the aid of generalized homotopy analysis method (q-HAM). The $h$ curves of approximate solutions for both equations are illustrated by graphics to determine the convergence interval. $h$ values obtained from these graphics are used to compare approximate solutions with the analytical solutions. The results show that approximate solutions are consistent with the analytical solutions. Also it is understood that the method is reliable, applicable and efficient technique to get the exact solutions of fractional partial differential equations.
Keywords : Fractional Clannish Random Walker's Parabolic(CRWP) Equation, Modi ed Benjamin-Bona-Mahony(BBM) equation, Conformable Derivative