{"title":"Existence Results for Impulsive Caputo-Hadamard Fractional Differential Equations with Integral Boundary Conditions","authors":"John R Graef, Samira Hamani","doi":"10.46719/dsa2023.32.01","DOIUrl":null,"url":null,"abstract":". In this paper, the authors establish conditions for the existence of solutions to impulsive Caputo-Hadamard fractional differential equations with integral boundary conditions. The proofs make use of the Banach contraction theorem, Schauder’s fixed point theorem, and the nonlinear Leray-Schauder alternative. An example to illustrate the results is given.","PeriodicalId":51019,"journal":{"name":"Dynamic Systems and Applications","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Dynamic Systems and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46719/dsa2023.32.01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
. In this paper, the authors establish conditions for the existence of solutions to impulsive Caputo-Hadamard fractional differential equations with integral boundary conditions. The proofs make use of the Banach contraction theorem, Schauder’s fixed point theorem, and the nonlinear Leray-Schauder alternative. An example to illustrate the results is given.
期刊介绍：
The aim of this quarterly journal is to provide an international forum for the information in the theory and practice of Dynamic Systems and Applications. This journal publishes carefully selected original research papers from stochastic/deterministic : Differential Equations ,Integral Equations, Integro-Differential Equations, Discrete Analogs of these equations, and Applications.
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