{"title":"Existence of optimum solution of the fractional integral equation via measure of noncompactness","authors":"Mallika Sarmah, Anupam Das, Dipak Sarma","doi":"10.1007/s11565-025-00590-4","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we establish a best proximity point theorem by using a newly defined condensing operator, and we applied the results to investigate the optimum solution of a system of fractional integral equations followed by an example.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali dell''Universita di Ferrara","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s11565-025-00590-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we establish a best proximity point theorem by using a newly defined condensing operator, and we applied the results to investigate the optimum solution of a system of fractional integral equations followed by an example.
期刊介绍:
Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.