A new integral transform and associated distributions

In this paper, we generalize the concepts of a new integral transform, namely the Sumudu transform, to distributions and study some of their properties. Further, we also apply this transform to solve one-dimensional wave equation having a singularity at the initial conditions.

Bibliographic Details
Main Authors: Eltayeb, Hassan, Kilicman, Adem, Fisher, Brian
Format: Article
Language:English
Published: Taylor & Francis 2010
Online Access:http://psasir.upm.edu.my/id/eprint/12748/1/A%20new%20integral%20transform%20and%20associated%20distributions.pdf
Description
Summary:In this paper, we generalize the concepts of a new integral transform, namely the Sumudu transform, to distributions and study some of their properties. Further, we also apply this transform to solve one-dimensional wave equation having a singularity at the initial conditions.