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383788

An asymptotic model for solving mixed integral equation in some domains

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Last updated: 05 Jan 2025

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Abstract

In this paper, we discuss the solution of mixed integral equation with generalized
potential function in position and the kernel of Volterra integral term in time. The
solution will be discussed in the space L2(�) × C[0, T ],0 ≤ t ≤ T < 1, where  is the
domain of position and t is the time. The mixed integral equation is established from
the axisymmetric problems in the theory of elasticity. Many special cases when kernel
takes the potential function, Carleman function, the elliptic function and logarithmic
function will be established.

DOI

10.1186/s42787-020-00106-3

Keywords

The mixed integral equation, Generalized potential function, Hypergeometric kernel, Carleman kernel, logarithmic kernel

Authors

First Name

Mohamed

Last Name

Abdou

MiddleName

Abdella

Affiliation

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City

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Orcid

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First Name

Hamed

Last Name

Awad

MiddleName

Kamal

Affiliation

Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt

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Volume

28

Article Issue

1

Related Issue

50535

Issue Date

2020-06-01

Receive Date

2024-10-03

Publish Date

2020-06-01

Page Start

1

Page End

12

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 28_Issue 1_Pages 1-12.pdf

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Link

https://joems.journals.ekb.eg/article_383788.html

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https://joems.journals.ekb.eg/service?article_code=383788

Order

383,788

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Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

An asymptotic model for solving mixed integral equation in some domains

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Type

Article

Created At

21 Dec 2024