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Open Access Research Article

A study of fractional kinetic equations associated with k-incomplete second Appell hypergeometric matrix functions

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pp. 2421–2430Vol. 29Issue 8August 2026DOI: 10.47974/JIM-2627XML
Received:
01 Feb 2026
Published Online:
25 Aug 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2627
Pages:
2421–2430

Abstract

The present work introduces the k-incomplete second Appell hypergeometric matrix functions for positive real values of k. It establishes various generalized properties related to integral representations and differential relations. Furthermore, as an application of the newly introduced k-incomplete second Appell hypergeometric matrix functions, several new analytical results associated with fractional kinetic equations are established. Moreover, the obtained results may serve as a useful foundation for further investigations in fractional calculus, matrix analysis, and their applications in mathematical physics.

Keywords

Subject Classifications

33C4515A1533C6533C0533E20

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