A new generalized Laplace transform

Murugan, Ar; Ganesa Moorthy, C.; Ramasamy, CT.

doi:10.22075/ijnaa.2021.23852.2636

A new generalized Laplace transform

Document Type : Review articles

Authors

Ar Murugan ¹

C. Ganesa Moorthy ²

CT. Ramasamy ³

¹ Department of Mathematics, Government Arts and Science College, (Formerly MKUCC), Eriyodu, Vedasandur-624 702, India

² Department of Mathematics, Alagappa University, Karaikudi-630 004, India

³ Department of Mathematics, Alagappa Government Arts College, Karaikudi-630 003, India

10.22075/ijnaa.2021.23852.2636

Abstract

A new generalized Laplace transform is introduced, which is a common generalization of the Laplace transform, Sumudu transform, ELzaki transform, and a transformation of X. J. Yang. The basic properties of this generalized Laplace transform are derived, so that these properties coincide with the properties of the known transformations mentioned above.

Keywords

Laplace transform

Sumudu transform

ELzaki transform

Convolution

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