Contribution of Using Hadamard Fractional Integral Operator via Mellin Integral Transform for Solving Certain Fractional Kinetic Matrix Equations

Recently, the importance of fractional differential equations in field applied science has gained more attention not only mathematics but also electrodynamics, control systems, economic, physics, geophysics and hydrodynamics. Among many are kinetic equations. Fractional-order Equations (FOKEs) a unifying tool for description load vector behavior disorderly media. In this article, we employ Hadamard integral operator via Mellin transform to establish generalization some fractional-order including extended (k,τ)-Gauss hypergeometric matrix functions. Solutions certain (FOKMEs) involving functions introduced. Moreover, several special cases our main results archived.