A.M. Sayed Ahmed , Mahmoud A. AL-Nahhas , Othman A.M. Omar , Dimplekumar N. Chalishajar , Hamdy M. Ahmed
{"title":"Controllability of impulsive nonlinear ψ-Hilfer fractional integro-differential equations","authors":"A.M. Sayed Ahmed , Mahmoud A. AL-Nahhas , Othman A.M. Omar , Dimplekumar N. Chalishajar , Hamdy M. Ahmed","doi":"10.1016/j.rico.2024.100455","DOIUrl":null,"url":null,"abstract":"<div><p>Sufficient conditions for controllability of impulsive nonlinear integro-differential equations with <span><math><mi>ψ</mi></math></span>-Hilfer fractional derivative are established. The result are obtained by using fractional calculus and Schaefer’s fixed point theorem. Finally, a numerical examples are then provided to demonstrate the outcomes.</p></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"16 ","pages":"Article 100455"},"PeriodicalIF":0.0000,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2666720724000857/pdfft?md5=394d52a3a799aeabda9d1ddbcbe0b632&pid=1-s2.0-S2666720724000857-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Control and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666720724000857","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
Sufficient conditions for controllability of impulsive nonlinear integro-differential equations with -Hilfer fractional derivative are established. The result are obtained by using fractional calculus and Schaefer’s fixed point theorem. Finally, a numerical examples are then provided to demonstrate the outcomes.
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