Influence of rapidly oscillating inhomogeneities in the formation of additional boundary layers for singularly perturbed integro-differential systems-Reference-Cited by-同舟云学术

Influence of rapidly oscillating inhomogeneities in the formation of additional boundary layers for singularly perturbed integro-differential systems

Published:2023-06-29 Issue: Volume: Page:
ISSN:2587-2648
Container-title:Advances in the Theory of Nonlinear Analysis and its Application
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Author:

AKYLBAYEV Musabek¹^ORCID,KALİMBETOV Burhan²^ORCID,PARDAEVA Nilufar³^ORCID

Affiliation:

1. A.Kuatbekov Peoples' Friendship University

2. M. Auezov South Kazakhstan University, A.Kuatbekov Peoples' Friendship University

3. Almalyk branch of the NRTU MISA

Abstract

In this paper, the Lomov's regularization method is generalized to a singularly perturbed integro-differential equation with a fractional derivative and with a rapidly oscillating inhomogeneity. The main goal of the work is to reveal the influence of a rapidly changing kernel on the structure of the asymptotics of the problem solution and to study additional boundary functions that are generated by rapidly oscillating inhomogeneities.

Publisher

Erdal Karapinar

Subject

Applied Mathematics,Analysis

Reference36 articles.

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