{"title":"用不动点定理研究Hadamard积分微分方程的可解性","authors":"Hamid Reza Sahebi, Manochehr Kazemi","doi":"10.1007/s11565-025-00603-2","DOIUrl":null,"url":null,"abstract":"<div><p>This paper investigates the existence of solutions for nonlinear fractional Hadamard integro-differential equations with boundary conditions. The analysis is based on classical fixed-point theories, including Petryshyan’s and Banach’s fixed-point theorems. Some examples are provided to demonstrate the theoretical findings.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 3","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the solvability of Hadamard integro-differential equations via fixed point theorem\",\"authors\":\"Hamid Reza Sahebi, Manochehr Kazemi\",\"doi\":\"10.1007/s11565-025-00603-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper investigates the existence of solutions for nonlinear fractional Hadamard integro-differential equations with boundary conditions. The analysis is based on classical fixed-point theories, including Petryshyan’s and Banach’s fixed-point theorems. Some examples are provided to demonstrate the theoretical findings.</p></div>\",\"PeriodicalId\":35009,\"journal\":{\"name\":\"Annali dell''Universita di Ferrara\",\"volume\":\"71 3\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2025-07-19\",\"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/s11565-025-00603-2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali dell''Universita di Ferrara","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s11565-025-00603-2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
On the solvability of Hadamard integro-differential equations via fixed point theorem
This paper investigates the existence of solutions for nonlinear fractional Hadamard integro-differential equations with boundary conditions. The analysis is based on classical fixed-point theories, including Petryshyan’s and Banach’s fixed-point theorems. Some examples are provided to demonstrate the theoretical findings.
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.