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

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.