Application of the Fractional Sturm–Liouville Theory to a Fractional Sturm–Liouville Telegraph Equation

In this paper, we consider a non-homogeneous time–space-fractional telegraph equation in n-dimensions, which is obtained from the standard by replacing first- and second-order time derivatives Caputo fractional of corresponding orders, Laplacian operator Sturm–Liouville defined terms right left Riemann–Liouville derivatives. Using method separation variables, derive series representations solution Wright functions, for homogeneous cases. The convergence solutions studied using well known properties function. We show also that our can be written bivariate Mittag-Leffler end paper some illustrative examples are presented.