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Kumar, Himanshu

Numerical solution of Abel’s general fuzzy linear integral equations by fractional calculus method. (English) Zbl 07570287

Korean J. Math. 29, No. 3, 527-545 (2021).
Summary: 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.

MSC:

65-XX Numerical analysis
26A33 Fractional derivatives and integrals
47H30 Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.)

Keywords:

Abel’s fuzzy integral equations; Caputo fuzzy fractional derivatives; Riemann fuzzy fractional integrals

Software:

FracPECE
Cite Review PDF
Full Text: DOI

References:

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