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Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

A novel computational expansion of the fractional kinetic equation with incomplete H-functions

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pp. 2815–2825Vol. 28Issue 8December 2025DOI: 10.47974/JIM-2156XML
Received:
05 Jun 2024
Published Online:
07 Oct 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-2156
Pages:
2815–2825

Abstract

This study introduces a novel and more generalized form of the fractionalized kinetic equation (KE), expressed using the incomplete H-function combined with an exponential function. The significance of the fractional KE, which plays a crucial role in various engineering and scientific applications, is analyzed through the of incomplete special functions, including the incomplete H-function, H-function, Fox-Wright function, and Meijer’s G-function. Solutions are efficiently derived using the modified degenerate Laplace transform, which incorporates these incomplete special functions. Additionally, graphical simulations are presented to illustrate the results. The obtained conclusions are broad in scope, providing a framework for generating solutions to a wide range of fractional kinetic equations.

Keywords

Subject Classifications

26A3344A1033C60

References

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