{"title":"EXISTENCE AND HYERS-ULAM STABILITY OF THE SOLUTIONS TO THE IMPLICIT SECOND-ORDER DIFFERENTIAL EQUATION","authors":"I. Kaddoura, S. Al-Issa, N. J. Rifai","doi":"10.46753/pjaa.2023.v010i01.013","DOIUrl":null,"url":null,"abstract":". The main objective of this research is to investigate the existence and stability of solutions for implicit second order differential equations with fractional-orders integral boundary conditions. Our studies have relied on Krasnoselskii’s fixed point theorem and Banach contraction principle. We provide examples to clarify the achieved conclusions.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Poincare Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46753/pjaa.2023.v010i01.013","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
. The main objective of this research is to investigate the existence and stability of solutions for implicit second order differential equations with fractional-orders integral boundary conditions. Our studies have relied on Krasnoselskii’s fixed point theorem and Banach contraction principle. We provide examples to clarify the achieved conclusions.
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