New Integral Transform: Shehu Transform a Generalization of Sumudu and Laplace Transform for Solving Differential Equations

In this paper, we introduce a Laplace-type integral transform called the Shehu transform which is a generalization of the Laplace and the Sumudu integral transforms for solving differential equations in the time domain. The proposed integral transform is successfully derived from the classical Fouri...

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Bibliographic Details
Published inInternational journal of analysis and applications Vol. 17; no. 2; pp. 167 - 190
Main Authors Shehu Maitama, Weidong Zhao
Format Journal Article
LanguageEnglish
Published Etamaths Publishing 01.01.2019
Online AccessGet full text
ISSN2291-8639
2291-8639
DOI10.28924/2291-8639-17-2019-167

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Summary:In this paper, we introduce a Laplace-type integral transform called the Shehu transform which is a generalization of the Laplace and the Sumudu integral transforms for solving differential equations in the time domain. The proposed integral transform is successfully derived from the classical Fourier integral transform and is applied to both ordinary and partial differential equations to show its simplicity, efficiency, and the high accuracy.
ISSN:2291-8639
2291-8639
DOI:10.28924/2291-8639-17-2019-167