Existence of a solution to an infinite system of weighted fractional integral equations of a function with respect to another function via a measure of noncompactness-Reference-Cited by-同舟云学术

Existence of a solution to an infinite system of weighted fractional integral equations of a function with respect to another function via a measure of noncompactness

Published:2023-01-01 Issue:1 Volume:56 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Das Anupam¹,Paunović Marija²,Parvaneh Vahid³,Mursaleen Mohammad⁴,Bagheri Zohreh⁵

Affiliation:

1. Department of Mathematics, Cotton University, Panbazar , Guwahati-781001 , Assam , India

2. University of Kragujevac, Faculty of Hotel Management and Tourism, Vojvodjanska bb , 36210 Vrnjacka Banja , Serbia

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

4. Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan) , Taichung 40001 , Taiwan

5. Department of Mathematics, Azadshahr Branch, Islamic Azad University , Azadshahr , Iran

Abstract

Abstract In this article, some new generalizations of Darbo’s fixed-point theorem are given and the solvability of an infinite system of weighted fractional integral equations of a function with respect to another function is studied. Also, with the help of a proper example, we illustrate our findings.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0192/pdf

Reference16 articles.

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3. A. Das, B. Hazarika, and P. Kumam, Some new generalization of Darbo’s fixed point theorem and its application on integral equations, Mathematics 7 (2019), no. 3, 214, DOI: https://doi.org/10.3390/math7030214.

4. A. Das, B. Hazarika, V. Parvaneh, and M. Mursaleen, Solvability of generalized fractional order integral equations via measures of noncompactnes, Math. Sci. 15 (2021), no. 3, 241–251, DOI: https://doi.org/10.1007/s40096-020-00359-0.

5. H. K. Nashine, R. W. Ibrahim, R. P. Agarwal, and N. H. Can, Existence of local fractional integral equation via a measure of non-compactness with monotone property on Banach spaces, Adv. Difference Equations 2020 (2020), 697, DOI: https://doi.org/10.1186/s13662-020-03153-3

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