Open AccessApplication of the extended exp(-φ(ξ))-expansion method to the nonlinear conformable time-fractional partial differential equations
Author(s) -
Dipankar Kumar,
Samir Chandra Ray
Publication year - 2019
Publication title -
international journal of physical research
Language(s) - English
Resource type - Journals
ISSN - 2307-9010
DOI - 10.14419/ijpr.v7i2.19984
Subject(s) - conformable matrix , mathematics , nonlinear system , fractional calculus , hyperbolic function , mathematical analysis , partial differential equation , trigonometric functions , function (biology) , differential equation , integer (computer science) , first order partial differential equation , physics , computer science , geometry , quantum mechanics , evolutionary biology , biology , programming language
This paper investigates the new exact solutions of the three nonlinear time fractional partial differential equations namely the nonlinear time fractional Clannish Random Walker’s Parabolic (CRWP) equation, the nonlinear time fractional modified Kawahara equation, and the nonlinear time fractional BBM-Burger equation by utilizing an extended form of exp(-φ(ξ))-expansion method in the sense of conformable fractional derivative. As outcomes, some new exact solutions are obtained and signified by hyperbolic function solutions, trigonometric function solutions, and rational function solutions. Some solutions have been plotted by MATLAB software to show the physical significance of our studied equations. In the point of view of our executed method and generated results, we may conclude that extended exp (-φ(ξ))-expansion method is more efficient than exp(-φ(ξ))-expansion method to extract the new exact solutions for solving any types of integer and fractional differential equations arising in mathematical physics.