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

Author

Listed:
  • Mohamed S. Al–Sheikh
  • Ahmed Bakhet
  • Ahmed Adly Mahmoud
  • Ahmed M. Zahran

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.

Suggested Citation

  • Mohamed S. Al–Sheikh & Ahmed Bakhet & Ahmed Adly Mahmoud & Ahmed M. Zahran, 2026. "(p, k) Matrix Mittag-Leffler and Pochhammer Functions With Applications to Fractional Differential Systems," Abstract and Applied Analysis, Hindawi, vol. 2026, pages 1-10, June.
    • Handle: RePEc:hin:jnlaaa:6468748
    DOI: 10.1155/aaa/6468748
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