SOLUTION OF GENERALIZED PARTIAL DIFFERENTIAL EQUATIONS BY USING DOUBLE Q-INTEGRAL TRANSFORM

Abstract

In this article, we present the meaning of two Laplace-Sumudu transforms in q-calculus using the two variable functions. This binary transformation is a new combination of the Laplace transform and the Sumudu transform. The main aim of this work is todemonstrate a new efficient binary q-transformation for solving differential equations. Topresent this new change, several problems are discussed to understand the effectiveness and efficiency of the plan. Also, this article surveys recent applications to solve generalized diffusion, wave and space-time telegraphic equations.