{"title":"SOLUTIONS FOR A FRACTIONAL-ORDER DIFFERENTIAL EQUATION WITH BOUNDARY CONDITIONS OF THIRD ORDER","authors":"M. Toyoda, Toshikazu Watanabe","doi":"10.12732/ijam.v33i3.4","DOIUrl":null,"url":null,"abstract":"This paper is concerned with a fractional-order boundary value problem involving the Riemann-Liouville fractional derivative of order α ∈ (3, 4]. Existence and uniqueness results of solutions are established by the Banach fixed point theorem. AMS Subject Classification: 34A08, 34B15, 47H10","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"56 1","pages":"403"},"PeriodicalIF":0.0000,"publicationDate":"2020-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International journal of pure and applied mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12732/ijam.v33i3.4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
This paper is concerned with a fractional-order boundary value problem involving the Riemann-Liouville fractional derivative of order α ∈ (3, 4]. Existence and uniqueness results of solutions are established by the Banach fixed point theorem. AMS Subject Classification: 34A08, 34B15, 47H10