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Title A numerical scheme for solving a class of time fractional integro-partial differential equations with Caputo–Fabrizio derivative
Type JournalPaper
Keywords Fractional derivative; integro-partial differential equations; Sinc function; numerical analysis; convergence analysis.
Abstract In this paper, we find the numerical solution of the time-fractional partial integrodifferential equation with Caputo–Fabrizio fractional derivative. The problem is discretized by some finite difference schemes in the time direction, and then the Sinc collocation method is applied to the resulting problems in the spatial direction. The convergence and stability of the method are proved and illustrated by three test examples.
Researchers Afshin Babaei (Second Researcher), ُSeddighe Banihashemi (Third Researcher), Alireza Mohammadpour (First Researcher)