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291071

New View for Volterra Integral Equation

Article

Last updated: 05 Jan 2025

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Subjects

-

Tags

Engineering

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.

DOI

10.21608/dusj.2023.291071

Keywords

Volterra fuzzy integral equation. fuzzy differential equation. Triangular fuzzy number

Authors

First Name

I. L.

Last Name

EL-Kalla

MiddleName

-

Affiliation

Faculty of Engineering, Mansoura University, Mansoura, Egypt

Email

al_kalla@mans.edu.eg

City

-

Orcid

-

First Name

M.

Last Name

Nayle

MiddleName

-

Affiliation

Faculty of Engineering, Tanta University, Tanta, Egypt

Email

mohnayle@yahoo.com

City

-

Orcid

-

First Name

Reda

Last Name

Abd-Elmoem

MiddleName

Abdo

Affiliation

Faculty of Engineering, Mansoura University, Mansoura, Egypt.

Email

redaabdou68@gmail.com

City

-

Orcid

-

First Name

Marwa

Last Name

Shehata

MiddleName

-

Affiliation

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

Email

eng.marwa_shehata@yahoo.com

City

-

Orcid

-

Volume

6

Article Issue

1

Related Issue

40283

Issue Date

2023-04-01

Receive Date

2023-03-16

Publish Date

2023-04-01

Page Start

278

Page End

291

Print ISSN

2636-3046

Online ISSN

2636-3054

Article File

DUSJ_Volume 6_Issue 1_Pages 278-291.pdf

PDF . 600.4kB

Link

https://dusj.journals.ekb.eg/article_291071.html

Detail API

https://dusj.journals.ekb.eg/service?article_code=291071

Order

291,071

Type

Original research papers

Type Code

1,769

Publication Type

Journal

Publication Title

Delta University Scientific Journal

Publication Link

https://dusj.journals.ekb.eg/

MainTitle

New View for Volterra Integral Equation

Details

Type

Article

Created At

28 Dec 2024