JOURNAL OF MATHEMATICAL ANALYSIS, vol.11, no.1, pp.17-26, 2020 (ESCI)
In this paper, the analytic solution of sequential space-time fractional differential equation with periodic boundary conditions in one dimension is established. It is constructed in the form of a Fourier series by taking the eigenfunctions of Sturm-Liouville problem with fractional derivative in Caputo sense into account.