On Degenerate Laplace-type Integral Transform

Authors

  • Harren Campos
  • Jezer Fernandez Mindanao State University Marawi
  • Jade Bong Natuil

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i4.4868

Keywords:

Degenerate Sumudu transform, Degenerate Elzaki transform, Degenerate Laplace transform, Degenerate Laplace-type Integral Transform

Abstract

This paper is motivated by the work of Taekyun Kim and Dae San Kim on the degenerate Laplace transform and degenerate gamma function, as published in the Russian Journal of Mathematical Physics. We introduce the degenerate Laplace-type integral transform and delve into its properties and interrelations. This paper focuses on the degenerate Laplace-type integral transforms of several fundamental functions, including the degenerate sine, degenerate cosine, degenerate hyperbolic sine, and degenerate hyperbolic cosine functions. Furthermore, we establish crucial connections between the degenerate Laplace-type integral transform and existing degenerate integral transforms. Specifically, we explore its relationships with the degenerate Laplace transform, the degenerate Elzaki transform, and the degenerate Sumudu transforms.

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Published

2023-10-30

Issue

Section

Nonlinear Analysis

How to Cite

On Degenerate Laplace-type Integral Transform. (2023). European Journal of Pure and Applied Mathematics, 16(4), 2213-2233. https://doi.org/10.29020/nybg.ejpam.v16i4.4868