Existence Results of Global Solutions for a Coupled Implicit Riemann-Liouville Fractional Integral Equation via the Vector Kuratowski Measure of Noncompactness

Autor:	Noura Laksaci, Ahmed Boudaoui, Wasfi Shatanawi, Taqi A. M. Shatnawi
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	coupled implicit Riemann-Liouville fractional integral equation generalized Banach space fixed point theorems M-set contractive generalized measure of noncompactness Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 6, Iss 3, p 130 (2022)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract6030130
Popis:	The main goal of this study is to demonstrate an existence result of a coupled implicit Riemann-Liouville fractional integral equation. First, we prove a new fixed point theorem in spaces with an extended norm structure. That theorem generalized Darbo’s theorem associated with the vector Kuratowski measure of noncompactness. Second, we employ our obtained fixed point theorem to investigate the existence of solutions to the coupled implicit fractional integral equation on the generalized Banach space C([0,1],R)×C([0,1],R).
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/5874cb8d627c4f91811d21411ad00faa Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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