{"title":"一类方程解的存在性分析,包括q- erdsamlyi - kober积分","authors":"Hamid Reza Sahebi, Mohammad Esmael Samei","doi":"10.1186/s43088-025-00672-4","DOIUrl":null,"url":null,"abstract":"<div><p>In this manuscript, we intend to investigate the existence of solutions for a generalized Erdély-Kober integral equations based on Petryshyan theorem associated with measure of noncompactness in Banach space. Under less stringent conditions, an existence solution is established for a general category of fractional integral equations. It is natural, relevant examples will be useful enough to confirm our achievements which are presented.</p></div>","PeriodicalId":481,"journal":{"name":"Beni-Suef University Journal of Basic and Applied Sciences","volume":"14 1","pages":""},"PeriodicalIF":2.6000,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://bjbas.springeropen.com/counter/pdf/10.1186/s43088-025-00672-4","citationCount":"0","resultStr":"{\"title\":\"Analysis of the existence of solutions for a general class of equations, including the q-Erdélyi-Kober integral\",\"authors\":\"Hamid Reza Sahebi, Mohammad Esmael Samei\",\"doi\":\"10.1186/s43088-025-00672-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this manuscript, we intend to investigate the existence of solutions for a generalized Erdély-Kober integral equations based on Petryshyan theorem associated with measure of noncompactness in Banach space. Under less stringent conditions, an existence solution is established for a general category of fractional integral equations. It is natural, relevant examples will be useful enough to confirm our achievements which are presented.</p></div>\",\"PeriodicalId\":481,\"journal\":{\"name\":\"Beni-Suef University Journal of Basic and Applied Sciences\",\"volume\":\"14 1\",\"pages\":\"\"},\"PeriodicalIF\":2.6000,\"publicationDate\":\"2025-08-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://bjbas.springeropen.com/counter/pdf/10.1186/s43088-025-00672-4\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Beni-Suef University Journal of Basic and Applied Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1186/s43088-025-00672-4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Beni-Suef University Journal of Basic and Applied Sciences","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1186/s43088-025-00672-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
Analysis of the existence of solutions for a general class of equations, including the q-Erdélyi-Kober integral
In this manuscript, we intend to investigate the existence of solutions for a generalized Erdély-Kober integral equations based on Petryshyan theorem associated with measure of noncompactness in Banach space. Under less stringent conditions, an existence solution is established for a general category of fractional integral equations. It is natural, relevant examples will be useful enough to confirm our achievements which are presented.
期刊介绍:
Beni-Suef University Journal of Basic and Applied Sciences (BJBAS) is a peer-reviewed, open-access journal. This journal welcomes submissions of original research, literature reviews, and editorials in its respected fields of fundamental science, applied science (with a particular focus on the fields of applied nanotechnology and biotechnology), medical sciences, pharmaceutical sciences, and engineering. The multidisciplinary aspects of the journal encourage global collaboration between researchers in multiple fields and provide cross-disciplinary dissemination of findings.