Abstract

This paper is devoted to the extraction of the temporal component of the source term for the fractional diffusion-wave equation. The main features of the inverse problem are the presence of non-local damping term involving two parameter Mittag -Leffler type function and family of Samarski-Ionkin type boundary conditions. Estimates of infinite series of three parameter Mittag-Leffler type function and their convolution are established to prove the existence of the solution.