The main purpose of this paper is to study the existence of solutions for the nonlinear fractional partial integrodifferential equations with Dirichlet boundary condition. Under suitable assumption the results are established by using the Leray-Schauder fixed point theorem and Arzela-Ascoli theorem. An example is provided to illustrate the main result.
"On the solutions of partial integrodifferential equations of fractional order." Tbilisi Math. J. 10 (1) 19 - 29, Jan 2017. https://doi.org/10.1515/tmj-2017-0002