Modified double Laplace transform of partial derivatives and its applications

Abstract

This paper deals with modified double Laplace transforms of partial derivatives and their applications. Starting with standard results on modified double Laplace transform, we developed theorems on modified double Laplace transform of first and second-order partial derivatives. Further, we applied our results to solve homogeneous and non-homogeneous partial differential equations, D' Alembert's wave equation, and Klein-Gordon equation.