Solving fuzzy volterra-fredholm integral equation by fuzzy artificial neural network

Seiyed Hadi Abtahi; Hamidreza Rahimi; Maryam Mosleh

doi:10.3934/mfc.2021013

Article Contents

2021, Volume 4, Issue 3: 209-219. Doi: 10.3934/mfc.2021013

This issue Previous Article Uniform attractors of stochastic three-component Gray-Scott system with multiplicative noise Next Article

Solving fuzzy volterra-fredholm integral equation by fuzzy artificial neural network

1.
Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran
2.
Department of Mathematics, Faculty of Basic Science, West Tehran Branch, Islamic Azad University, Tehran, Iran

^* Corresponding author
^* Corresponding author

Received: February 28, 2021

Revised: May 31, 2021

Early access: August 2021

Published: August 2021

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Abstract

The volterra-fredholm integral equation in all forms are arose from physics, biology and engineering problems which is derived from differential equation modelling. On the other hand, the trained programming algorithm by the fuzzy artificial neural networks has effective solution to find the best answer. In this article we try to estimate the equation and its answer by developed fuzzy artificial neural network to fuzzy volterra-fredholme integral. Our attempts would lead to benchmark other extended forms of this type of equation.

Keywords:

Fuzzy volterra-fredholm integral equation,
fuzzy artificial neural network,
trained algorithm.

Mathematics Subject Classification: Primary: 45D05; Secondary: 92B20.

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