A Study of Fractional Kinetic Equations Incorporating Incomplete R-Function Kernels

Priti Purohit, Ravi Gupta, Shyamsunder and D. L. Suthar

Journal of Mathematics, 2026, vol. 2026, 1-8

Abstract: This article introduces a more generalized version of the fractionalized kinetic equation (KE), expressed using the incomplete R-function. Various special functions—including the incomplete and complete forms of the R-function and H-function, as well as the Fox–Wright and Meijer’s G-functions—are employed to highlight the importance of fractional KEs in diverse scientific and engineering applications. The solutions are compactly obtained from containing incomplete special functions using a modified degenerate Laplace transform. The graphical simulation has also been discussed. The general conclusions offer a unified framework for solving a wide range of fractional KEs.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3416172

DOI: 10.1155/jom/3416172

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