Research Article
Quadruple Laplace-Sumudu-Aboodh-Elzaki Transform and Its Applications
Issue:
Volume 13, Issue 5, October 2025
Pages:
308-319
Received:
28 June 2025
Accepted:
9 July 2025
Published:
5 September 2025
DOI:
10.11648/j.ajam.20251305.11
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Abstract: This research introduces an approach that combines four different transforms such as Laplace transform, Sumudu transform, Aboodh transform and Elzaki transform to produce a quadruple transform. We state and apply the quadruple transform for several functions of four variables and went further to proof some fundamental properties and theorems. The existence analysis of the method and partial derivatives theorems were proven. Moreover, we examined how efficient and applicable the transform is by applying it to some integral equations and partial differential equations.
Abstract: This research introduces an approach that combines four different transforms such as Laplace transform, Sumudu transform, Aboodh transform and Elzaki transform to produce a quadruple transform. We state and apply the quadruple transform for several functions of four variables and went further to proof some fundamental properties and theorems. The e...
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