Prof. Dr. Mohamed Abdalla Darwish, M. Metwali, D. Regan
{"title":"分数阶二次非线性积分方程的唯一可解性","authors":"Prof. Dr. Mohamed Abdalla Darwish, M. Metwali, D. Regan","doi":"10.7153/DEA-2021-13-01","DOIUrl":null,"url":null,"abstract":". In this paper we study the existence of monotonic solutions of fractional nonlinear quadratic integral equations in the space of Lebesgue integrable functions on [ 0 , τ ] . The unique-ness of the solution is also discussed. In addition an example is given to illustrate our abstract results.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Unique solvability of fractional quadratic nonlinear integral equations\",\"authors\":\"Prof. Dr. Mohamed Abdalla Darwish, M. Metwali, D. Regan\",\"doi\":\"10.7153/DEA-2021-13-01\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper we study the existence of monotonic solutions of fractional nonlinear quadratic integral equations in the space of Lebesgue integrable functions on [ 0 , τ ] . The unique-ness of the solution is also discussed. In addition an example is given to illustrate our abstract results.\",\"PeriodicalId\":51863,\"journal\":{\"name\":\"Differential Equations & Applications\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Differential Equations & Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/DEA-2021-13-01\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations & Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/DEA-2021-13-01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Unique solvability of fractional quadratic nonlinear integral equations
. In this paper we study the existence of monotonic solutions of fractional nonlinear quadratic integral equations in the space of Lebesgue integrable functions on [ 0 , τ ] . The unique-ness of the solution is also discussed. In addition an example is given to illustrate our abstract results.