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
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