{"title":"基于分数积分边界条件的隐式二阶微分方程解的存在性和Hyers-Ulam稳定性","authors":"S. Al-Issa, I. Kaddoura, N. J. Rifai","doi":"10.22436/jmcs.031.01.02","DOIUrl":null,"url":null,"abstract":"In this paper, the existence and Ulam–Hyers stability of solutions for implicit second order fractional differential equations are investigated via fractional-orders integral boundary conditions. Our results are based on Krasnoselskii’s fixed point Theorem and Banach contraction principle. We provide examples at the end to clarify our acquired outcomes..","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":" ","pages":""},"PeriodicalIF":2.0000,"publicationDate":"2023-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence and Hyers-Ulam stability of solutions to the implicit second-order differential equation via fractional integral boundary conditions\",\"authors\":\"S. Al-Issa, I. Kaddoura, N. J. Rifai\",\"doi\":\"10.22436/jmcs.031.01.02\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the existence and Ulam–Hyers stability of solutions for implicit second order fractional differential equations are investigated via fractional-orders integral boundary conditions. Our results are based on Krasnoselskii’s fixed point Theorem and Banach contraction principle. We provide examples at the end to clarify our acquired outcomes..\",\"PeriodicalId\":45497,\"journal\":{\"name\":\"Journal of Mathematics and Computer Science-JMCS\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":2.0000,\"publicationDate\":\"2023-04-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematics and Computer Science-JMCS\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22436/jmcs.031.01.02\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics and Computer Science-JMCS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22436/jmcs.031.01.02","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Existence and Hyers-Ulam stability of solutions to the implicit second-order differential equation via fractional integral boundary conditions
In this paper, the existence and Ulam–Hyers stability of solutions for implicit second order fractional differential equations are investigated via fractional-orders integral boundary conditions. Our results are based on Krasnoselskii’s fixed point Theorem and Banach contraction principle. We provide examples at the end to clarify our acquired outcomes..