{"title":"研究HOLDER空间中分数边值问题解的一种新方法","authors":"Z. Ahmadi, R. Lashkaripour, S. Heidartkhani","doi":"10.30495/JME.V0I0.1599","DOIUrl":null,"url":null,"abstract":"In this paper, we study the existence of nontrivial solutionsfor a fractional boundary value problem in Holder spaces by a technicalapproach based on Leray-Schauder nonlinear alternative. Moreover,using the concept of orthogonal set on Banach xed point theorem weobtain another existence result with weaker conditions. Also, recentresults are extended and improved. In addition, we give some examplesto illustrate the feasibility and eectiveness of our results.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A NEW APPROACH TO THE STUDY OF SOLUTIONS FOR A FRACTIONAL BOUNDARY VALUE PROBLEM IN HOLDER SPACES\",\"authors\":\"Z. Ahmadi, R. Lashkaripour, S. Heidartkhani\",\"doi\":\"10.30495/JME.V0I0.1599\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the existence of nontrivial solutionsfor a fractional boundary value problem in Holder spaces by a technicalapproach based on Leray-Schauder nonlinear alternative. Moreover,using the concept of orthogonal set on Banach xed point theorem weobtain another existence result with weaker conditions. Also, recentresults are extended and improved. In addition, we give some examplesto illustrate the feasibility and eectiveness of our results.\",\"PeriodicalId\":43745,\"journal\":{\"name\":\"Journal of Mathematical Extension\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2021-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Extension\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30495/JME.V0I0.1599\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Extension","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30495/JME.V0I0.1599","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
A NEW APPROACH TO THE STUDY OF SOLUTIONS FOR A FRACTIONAL BOUNDARY VALUE PROBLEM IN HOLDER SPACES
In this paper, we study the existence of nontrivial solutionsfor a fractional boundary value problem in Holder spaces by a technicalapproach based on Leray-Schauder nonlinear alternative. Moreover,using the concept of orthogonal set on Banach xed point theorem weobtain another existence result with weaker conditions. Also, recentresults are extended and improved. In addition, we give some examplesto illustrate the feasibility and eectiveness of our results.
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