{"title":"Existence results and continuity dependence of solutions for fractional equations","authors":"J. V. C. Sousa","doi":"10.7153/dea-2020-12-24","DOIUrl":null,"url":null,"abstract":"Using two fractional-order integral inequalities we investigate the existence and uniqueness of solutions of the fractional nonlinear Volterra integral equation and the fractional nonlinear integrodifferential equation in Banach space Cξ , using an adequate norm, || · ||ξ ,∞ . Besides, we study the solution estimate and investigate their continuous dependence. Mathematics subject classification (2010): 26A33, 34A08, 34A12, 34A60, 34G20.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"30 1","pages":"377-396"},"PeriodicalIF":0.0000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/dea-2020-12-24","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
Using two fractional-order integral inequalities we investigate the existence and uniqueness of solutions of the fractional nonlinear Volterra integral equation and the fractional nonlinear integrodifferential equation in Banach space Cξ , using an adequate norm, || · ||ξ ,∞ . Besides, we study the solution estimate and investigate their continuous dependence. Mathematics subject classification (2010): 26A33, 34A08, 34A12, 34A60, 34G20.
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