{"title":"一类具有三阶边界条件的分数阶微分方程的解","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":"{\"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}","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}
SOLUTIONS FOR A FRACTIONAL-ORDER DIFFERENTIAL EQUATION WITH BOUNDARY CONDITIONS OF THIRD ORDER
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
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