{"title":"Existence and Stability Results for Fractional Volterra-Fredholm Integro-Dierential Equation with Mixed Conditions","authors":"I. Alasadi, Ahmed A. Hamoud","doi":"10.37622/adsa/16.1.2021.217-236","DOIUrl":null,"url":null,"abstract":"In this paper, we establish some new conditions for the existence and uniqueness of solutions for a class of nonlinear Caputo fractional Volterra-Fredholm integro-differential equations with mixed conditions. The desired results are proved by using Banach and Krasnoselskii’s fixed point theorems. In addition, the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for solutions of the given problem are also discussed.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"27 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Dynamical Systems and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37622/adsa/16.1.2021.217-236","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 4
Abstract
In this paper, we establish some new conditions for the existence and uniqueness of solutions for a class of nonlinear Caputo fractional Volterra-Fredholm integro-differential equations with mixed conditions. The desired results are proved by using Banach and Krasnoselskii’s fixed point theorems. In addition, the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for solutions of the given problem are also discussed.
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