Some New Exact Solutions of The Space Time Boussinesq and Kdv Fractional Partial Differential Equation

Abstract

In this paper, the Modified Riemann-Liouville derivative is proposed to solve Space Time Boussinesq Fractional Partial Differential Equation, and Jumarie’s modified Riemann Liouville derivative is used to convert nonlinear partial fractional differential equation to nonlinear ordinary differential equations. The modified Kudryashov method is applied to compute an approximation to the solutions Of the Space Time Boussinesq Fractional Partial Differential Equation and some Solutions of Space Time Korteweg–de Vries Fractional Partial Differential Equations. As a result, many exact solutions of fractional partial differential equations arising in plasma physics in the sense of modified Riemann–Liouville derivative.