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Results on the modified degenerate Laplace-type integral associated with applications involving fractional kinetic equations

Almalki Yahya, Abdalla Mohamed, Abd-Elmageed Hala

Demonstratio Mathematica

2023

Vol. 56, nr 1

art. no. 20230112

Recently, integral transforms are a powerful tool used in many areas of mathematics, physics, engineering, and other fields and disciplines. This article is devoted to the study of one important integral transform, which is called the modified degenerate Laplace transform (MDLT). The fundamental formulas and properties of the MDLT are obtained. Furthermore, as an application of the acquired MDLT, we solved a simple differential equation and fractional-order kinetic equations. The outcomes covered here are general in nature and easily reducible to new and known outcomes.