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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 computationally efficient method for tempered fractional differential equations with application
Type
JournalPaper
Keywords
Tempered fractional calculus, Computational method, Sinc-collocation method, Convergence order, The lumped capacitance model
Year
2017
Journal Computational and Applied Mathematics
DOI
Researchers Behrouz Parsa Moghaddam ، Jose Antonio Tenreiro Machado ، Afshin Babaei

Abstract

This paper investigates the numerical approximation of the tempered fractional integral by using the Sinc-collocation scheme. The algorithm is extended to solve a class of tempered fractional differential equations that converges to the solution with exponential rate. Several numerical examples compare the numerical approximations with the exact solutions. The behavioral responses of the lumped capacitance model with tempered fractional order for transient conduction are investigated. The efficiency and accuracy of the proposed scheme are analyzed in the perspective of the L2-norm error and convergence order