New Extension of Darbo’s Fixed Point Theorem and Its Application to a System of Weighted-Fractional-Type Integral Equations-Reference-Cited by-同舟云学术

New Extension of Darbo’s Fixed Point Theorem and Its Application to a System of Weighted-Fractional-Type Integral Equations

Published:2024-07-07 Issue:13 Volume:12 Page:2133
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Paunović Marija¹²^ORCID,Savić Ana³,Kalita Hemanta⁴,Deb Sudip⁵,Parvaneh Vahid⁶^ORCID

Affiliation:

1. Department of Natural Sciences, Faculty of Hotel Management and Tourism, University of Kragujevac, 36210 Vrnjačka Banja, Serbia

2. Faculty of Business and Law, University “MB”, 11000 Belgrade, Serbia

3. Academy of Technical and Art Applied Studies, 11000 Belgrade, Serbia

4. Mathematics Division, School of Advanced Sciences and Languages, VIT Bhopal University, Bhopal-Indore Highway, Sehore 466114, Madhya Pradesh, India

5. Department of Mathematics, Pandit Deendayal Upadhyaya Adarsha Mahavidyalaya, Amjonga, Goalpara 783124, Assam, India

6. Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb 6787141343, Iran

Abstract

In this article, we introduce several new extensions of Darbo’s fixed point theorem with newly constructed contraction functions associated with the measure of noncompactness. We apply our new extensions to prove the existence of solutions for a system of weighted fractional integral equations in Banach space BC(R+). At the end, we establish an example to show the applicability of our discovery.

Funder

Science Fund of the Republic of Serbia

Ministry of Science, Technological Development and Innovation of the Republic of Serbia

Academy of Technical and Art Applied Studies, Belgrade, Serbia

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/13/2133/pdf

Reference16 articles.

1. Sur les espaces complets;Kuratowski;Fund. Math.,1930

2. Punti uniti in trasformazioni a codominio non compatto (Italian);Darbo;Rend. Sem. Mat. Univ. Padova,1955

3. Solvability of functional-integral equations (fractional order) using measure of noncompactness;Arab;Adv. Differ. Equations,2020

4. Solvability of fractional integral equations via Darbo’s fixed point theorem;Deuri;J.-Pseudo-Differ. Oper. Appl.,2022

5. Darbo type fixed and coupled fixed point results and its application to integral equation;Nashine;Periodica Math. Hung.,2018