Some Relations on the Double ℒ_22 -Integral Transform and Their Applications

In this paper, the authors introduce the double Laplace-type integral transform ℒ_22 and its properties. Several simple theorems dealing with general properties of the ℒ_22 -integral transform are proved. The convolution, its properties and convolution theorem are given. The main focus of this paper is to develop a method for the ℒ_22 -integral transform to solve problems in applied mathematics which involve partial differential and integral equations.