Korean Journal of Mathematics

  • 제29권3호
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  • Pages.527-545
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  • 2021
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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NUMERICAL SOLUTION OF ABEL'S GENERAL FUZZY LINEAR INTEGRAL EQUATIONS BY FRACTIONAL CALCULUS METHOD

  • Kumar, Himanshu (Centre for Applied Mathematics, Central University of Jharkhand)
  • 투고 : 2020.12.09
  • 심사 : 2021.08.26
  • 발행 : 2021.09.30
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초록

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.

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참고문헌

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