{"title":"Dynamics and stability results for impulsive type integro-differential equations with generalized fractional derivative","authors":"D. Vivek, E. Elsayed, K. Kanagarajan","doi":"10.22436/MNS.04.01.01","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the existence, uniqueness, and Ulam stability of solutions for impulsive type integro-differential equations with generalized fractional derivative. The arguments are based upon the Banach contraction principle and Schaefer’s fixed point theorem.","PeriodicalId":443718,"journal":{"name":"Mathematics in Natural Science","volume":"31 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics in Natural Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22436/MNS.04.01.01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
In this paper, we investigate the existence, uniqueness, and Ulam stability of solutions for impulsive type integro-differential equations with generalized fractional derivative. The arguments are based upon the Banach contraction principle and Schaefer’s fixed point theorem.