Title of article :
Iterative Approach for a Class of Fuzzy Volterra Integral Equations Using Block Pulse Functions
Author/Authors :
Akhavan Zakeri, Kamran Islamic Azad University Central Tehran Branch, Tehran , Fariborzi Araghi, Mohammad Ali Islamic Azad University Central Tehran Branch, Tehran , Ziari, Shokrollah Islamic Azad University Firoozkooh Branch, Firoozkooh
Pages :
17
From page :
1
To page :
17
Abstract :
Fuzzy Integral equations is a mathematical tool for mod- eling the uncertain control system and economic. In this paper, we present numerical solution of nonlinear fuzzy Volterra integral equa- tions(NFVIEs) using successive approximations scheme and block-pulse functions. Additionally, the convergence analysis of the presented ap- proach is investigated involving Lipschitz and several conditions and error bound between the approximate and the exact solution is pro- vided. Finally, to approve the outcomes concerned with the theory a numerical experiment is considered.
Keywords :
Fuzzy Volterra integral equations , Successive approximations scheme , L-Lipschitz fuzzy-valued function
Journal title :
Journal of Mathematical Extension(IJME)
Serial Year :
2022
Record number :
2702374
Link To Document :
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