{"title":"A new sequential proportional fractional derivative of hybrid differential equations with nonlocal hybrid condition","authors":"Hamid Beddani, Beddani Moustafa","doi":"10.31197/atnaa.1122002","DOIUrl":null,"url":null,"abstract":"In this paper, we study the existence of solutions for a new problem of hybrid differential \nequations with nonlocal integro multi point boundary conditions by using the proportional fractional \nderivative. The presented results are obtained by using hybrid fixed point theorems for three Dhage \noperators. The application of theoretical conclusions is demonstrated through an example.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"4 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in the Theory of Nonlinear Analysis and its Application","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31197/atnaa.1122002","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
In this paper, we study the existence of solutions for a new problem of hybrid differential
equations with nonlocal integro multi point boundary conditions by using the proportional fractional
derivative. The presented results are obtained by using hybrid fixed point theorems for three Dhage
operators. The application of theoretical conclusions is demonstrated through an example.