Paper Title
THE NEW ANALYTICAL SOLUTIONS OF THE SPACE – TIME FRACTIONAL DMBBM EQUATION BY USING KUDRYASHOV METHOD

Abstract
In this article, the dispersive modified Benjamin – Bona – Mahony (DMBBM) equation is solved by a traveling wave analysis method as the Kudryashov method. The solutions of space-time fractionalDMBBMequation can be expressed in the forms of exponential functions. The purpose of this article is to explore the new method for solving one of nonlinear partial differential equation (NPDE) which is difficult to solve. Keywords - Dispersive modified Benjamin – Bona – Mahony (DMBBM) Equation/ Exact Solution/ Nonlinear Partial Differential Equation/ Traveling Wave Analysis Method/ Kudryashov