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Afshin Babaei

Afshin Babaei

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-6980-9786
Education: PhD.
ScopusId: https://www.scopus.com/authid/detail.uri?authorId=57188696707
Faculty: Faculty of Mathematical Sciences
Address: Department of Mathematics, Faculty of Mathematical sciences, University of Mazandaran, Babolsar, Iran
Phone: 011-35302418

Research

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.
Year
2022
Journal Asian-European Journal of Mathematics
DOI
Researchers Alireza Mohammadpour ، Afshin Babaei ، ُSeddighe Banihashemi

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.