The Intrinsic Structure and Properties of Laplace-Typed Integral Transforms

Abstract

We would like to establish the intrinsic structure and properties of Laplace-typed integral transforms. The methodology of this article is done by a consideration with respect to the common structure of kernels of Laplace-typed integral transform, and G-transform, the generalized Laplace-typed integral transform, is proposed with the feature of inclusiveness. The proposed G-transform can provide an adequate transform in a number of engineering problems.