Solution of Integral Differential Equations by New Double Integral Transform (Laplace–Sumudu Transform)

The primary purpose of this research is to demonstrate an efficient replacement double transform named the Laplace–Sumudu transform (DLST) to unravel integral differential equations. The theorems handling fashionable properties of the Laplace–Sumudu transform are proved; the convolution theorem with...

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Bibliographic Details
Published inAbstract and applied analysis Vol. 2020; no. 2020; pp. 1 - 7
Main Authors Ahmed, Shams A., Hassan, Abdelgabar Adam, Elzaki, Tarig M.
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 2020
Hindawi
Hindawi Limited
Wiley
Subjects
Applied mathematics
Convolution
Decomposition
Differential equations
Integral equations
Integral transforms
Mathematical analysis
Mathematical research
Partial differential equations
Theorems
Transformations (Mathematics)
Saudi Arabia
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Summary:The primary purpose of this research is to demonstrate an efficient replacement double transform named the Laplace–Sumudu transform (DLST) to unravel integral differential equations. The theorems handling fashionable properties of the Laplace–Sumudu transform are proved; the convolution theorem with an evidence is mentioned; then, via the usage of these outcomes, the solution of integral differential equations is built.
ISSN:1085-3375
1687-0409
DOI:10.1155/2020/4725150