Best proximity point results and application to a system of integro-differential equations

Autor:	Anupam Das, Hemant Kumar Nashine, Rabha W. Ibrahim, Manuel De la Sen
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Best proximity point measure of noncompactness (MNC) Darbo fixed point theorem (DFPT) Fractional calculus Fractional differential operator Fractional integral equation Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-13 (2021)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-021-03567-7
Popis:	Abstract In this work, we solve the system of integro-differential equations (in terms of Caputo–Fabrizio calculus) using the concepts of the best proximity pair (point) and measure of noncompactness. We first introduce the concept of cyclic (noncyclic) Θ-condensing operator for a pair of sets using the measure of noncompactness and then establish results on the best proximity pair (point) on Banach spaces and strictly Banach spaces. In addition, we have illustrated the considered system of integro-differential equations by three examples and discussed the stability, efficiency, and accuracy of solutions.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/da8e3b3272ee44b59fad70c9d443fd91 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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