Korean J. Math.  Vol 29, No 3 (2021)  pp.527-545
DOI: https://doi.org/10.11568/kjm.2021.29.3.527

Numerical solution of Abel's general fuzzy linear integral equations by fractional calculus method

Himanshu Kumar

Abstract

The aim of this article is to give a numerical method for solving Abel's general fuzzy linear integral equations with arbitrary kernel. The method is based on approximations of fractional integrals and Caputo derivatives. The convergence analysis for the proposed method is also given and the applicability of the proposed method is illustrated by solving some numerical examples. The results show the utility and the greater potential of the fractional calculus method to solve fuzzy integral equations.

Keywords

Abel's fuzzy integral equations; Caputo fuzzy fractional derivatives; Riemann Fuzzy fractional integrals.

26A33, 47H30

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