{"title":"具有非退化积分边界条件的双曲分数阶方程问题","authors":"A. Koulinté, A. Edoh, S. Bangan, D. M. Zakari","doi":"10.37418/amsj.12.7.4","DOIUrl":null,"url":null,"abstract":"In this work, we consider a hyperbolic fractional problem with non-degenerate integral boundary conditions. By using the method of Faedo-Galerkin, we demonstrate the existence of a solution of the considered problem by passing to the limit. A new result is given by proving the uniqueness of the solution based on assumptions for a similar problem.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"PROBLEM FOR A HYPERBOLIC FRACTIONAL EQUATION WITH THE NON-DEGENERATE INTEGRAL BOUNDARY CONDITIONS\",\"authors\":\"A. Koulinté, A. Edoh, S. Bangan, D. M. Zakari\",\"doi\":\"10.37418/amsj.12.7.4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we consider a hyperbolic fractional problem with non-degenerate integral boundary conditions. By using the method of Faedo-Galerkin, we demonstrate the existence of a solution of the considered problem by passing to the limit. A new result is given by proving the uniqueness of the solution based on assumptions for a similar problem.\",\"PeriodicalId\":231117,\"journal\":{\"name\":\"Advances in Mathematics: Scientific Journal\",\"volume\":\"7 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-07-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Mathematics: Scientific Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37418/amsj.12.7.4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Mathematics: Scientific Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37418/amsj.12.7.4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
PROBLEM FOR A HYPERBOLIC FRACTIONAL EQUATION WITH THE NON-DEGENERATE INTEGRAL BOUNDARY CONDITIONS
In this work, we consider a hyperbolic fractional problem with non-degenerate integral boundary conditions. By using the method of Faedo-Galerkin, we demonstrate the existence of a solution of the considered problem by passing to the limit. A new result is given by proving the uniqueness of the solution based on assumptions for a similar problem.