analytic solution of a system of linear distributed order differential equations in the reimann-liouville sense

In this paper, solution of a system of linear differential equations of distributed order in the riemann-liouville sense is analytically obtained. the distributed order relaxation equation is a special case of the system investigated in this paper. the solution of the mentioned system is introduced on the basis of a function which can be considered as the distributed order generalization of the matrix mittag-leffler functions. it is shown that this generalized function in two special cases of the weight function can be expressed in terms of the multivariate mittag-leffler functions and the wright functions.