(p, k) Matrix Mittag-Leffler and Pochhammer Functions With Applications to Fractional Differential Systems

Mohamed S. Al–Sheikh, Ahmed Bakhet, Ahmed Adly Mahmoud and Ahmed M. Zahran

Abstract and Applied Analysis, 2026, vol. 2026, 1-10

Abstract: In this study, we introduce the two-parameter Pochhammer matrix function. Notably, we establish the (p, k) Pochhammer matrix symbol as a key new construct for our generalizations. Furthermore, we construct gamma and beta matrix functions of two parameters and prove properties similar to their classical counterparts. Additionally, we define the (p, k) Mittag-Leffler matrix function, exploring its fundamental properties, computation methods, and practical applications in solving systems of linear fractional differential equations.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:6468748

DOI: 10.1155/aaa/6468748

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