Representation of solutions of M-spectral problem for diffusion operator

In this article, we offer the M-Sturm Liouville problem for the diffusion operator depending on initial condition. We obtain the representation of the solution of the M-Sturm Liouville problem for diffusion operator through the M-Laplace transform. The purpose of this article is to advantage demonstrate a more generalized version of the representation of the solution of the Sturm Liouville problem for diffusion operator in classical analysis.