Discontinuous solutions of delay fractional integral equation via measures of noncompactness

Autor: Mohamed M. A. Metwali, Shami A. M. Alsallami
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 9, Pp 21055-21068 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20231072?viewType=HTML
Popis: This article considers the existence and the uniqueness of monotonic solutions of a delay functional integral equation of fractional order in the weighted Lebesgue space $ L_1^N({\mathbb{R}}^+) $. Our analysis uses a suitable measure of noncompactness, a modified version of Darbo's fixed point theorem, and fractional calculus in the mentioned space. An illustrated example to show the applicability and significance of our outcomes is included.
Databáze: Directory of Open Access Journals