In this research, we discuss the construction of analytic solution of non-homogenous initial boundary value problem including PDEs of fractional order. By means of separation of variables method, the solution is constructed in the form of a Fourier series with respect to the eigenfunctions of a corresponding Sturm-Liouville eigenvalue problem including fractional derivative in Liouville-Caputo sense.
"Sequential time space fractional diffusion equation including nonhomogenous initial boundary conditions." Tbilisi Math. J. 14 (2) 83 - 91, June 2021. https://doi.org/10.32513/tmj/19322008124