New View for Volterra Integral Equation

Document Type : Original research papers

Authors

1 Faculty of Engineering, Mansoura University, Mansoura, Egypt

2 Faculty of Engineering, Tanta University, Tanta, Egypt

3 Faculty of Engineering, Mansoura University, Mansoura, Egypt.

4 Faculty of Engineering, Delta University for Science and Technology, Gamasa, Egypt

Abstract

In this paper, can introduce transform equations that change integral equations into differential equations that are translated on the fuzzy form (FH).  using fuzzy Riemann (FR), fuzzy Aumann (FA), and fuzzy Henstock. The algorithm that could solve a Volterra-type integral equation (VIE) was applied to the earlier forms which call triangular fuzzy function to find the fuzzy solution. We present solution as fuzzy functions such that each function satisfies the initial value problem by some membership degree. Some specific examples were provided to fulfil the effectiveness approach.

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Delta University Scientific Journal
Volume 6, Issue 1
April 2023
Pages 278-291

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