Iterative approach for a class of fuzzy Volterra integral equations using block pulse functions

Authors

  • Kamran Akhavan Zakeri Central Tehran Branch, Islamic Azad University, Tehran, Iran
  • Mohammad Ali Fariborzi Araghi Central Tehran Branch, Islamic Azad University, Tehran, Iran
  • Shokrollah Ziari Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran

Keywords:

Fuzzy Volterra integral equations, Successive approximations scheme, L-Lipschitz fuzzy-valued function

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.

Author Biographies

Kamran Akhavan Zakeri, Central Tehran Branch, Islamic Azad University, Tehran, Iran

Department of Mathematics

Mohammad Ali Fariborzi Araghi, Central Tehran Branch, Islamic Azad University, Tehran, Iran

Department of Mathematics

Shokrollah Ziari, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran

Department of Mathematics

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Published

2021-10-22

Issue

Vol. 16

Section

Vol. 16, No. 7, (2022)

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