Analytic solution of a system of linear distributed order differential equations in the Reimann-Liouville sense

Document Type: Article


Department of Electrical Engineering Sharif University of Technology, Tehran, Iran


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.


Main Subjects

Volume 27, Issue 3
Transactions on Computer Science & Engineering and Electrical Engineering (D)
Winter and Spring 2020
Pages 1384-1397