{"title":"EXISTENCE AND UNIQUENESS RESULTS FOR VOLTERRA-FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS","authors":"Ahmed A. Hamoud, N. M. Mohammed, K. Ghadle","doi":"10.31197/atnaa.703984","DOIUrl":null,"url":null,"abstract":"This paper establishes a study on some important latest innovations in the existence and uniqueness results by means of Banach contraction fixed point theorem for Caputo fractional Volterra-Fredholm integro-differential equations with boundary condition. New conditions on the nonlinear terms are given to pledge the equivalence. Finally, an illustrative example is also presented.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"13 1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in the Theory of Nonlinear Analysis and its Application","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31197/atnaa.703984","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 11
Abstract
This paper establishes a study on some important latest innovations in the existence and uniqueness results by means of Banach contraction fixed point theorem for Caputo fractional Volterra-Fredholm integro-differential equations with boundary condition. New conditions on the nonlinear terms are given to pledge the equivalence. Finally, an illustrative example is also presented.
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