{"title":"Existence results for fractional order mixed type integro-differential equations with non-instantaneous impulses","authors":"M. Arjunan, V. Kavitha","doi":"10.1063/5.0058194","DOIUrl":null,"url":null,"abstract":"This manuscript's primary purpose is to examine the existence of PC -mild solution of fractional order mixed type integro-differential equations with non-instantaneous impulses in Banach space. Based on the general Banach contraction principle, we develop the main results. Ultimately, an example is given for the theoretical results to be justified.","PeriodicalId":359324,"journal":{"name":"INTERNATIONAL VIRTUAL CONFERENCE ON RECENT MATERIALS AND ENGINEERING APPLICATIONS FOR SUSTAINABLE ENVIRONMENT (ICRMESE2020)","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"INTERNATIONAL VIRTUAL CONFERENCE ON RECENT MATERIALS AND ENGINEERING APPLICATIONS FOR SUSTAINABLE ENVIRONMENT (ICRMESE2020)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/5.0058194","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
This manuscript's primary purpose is to examine the existence of PC -mild solution of fractional order mixed type integro-differential equations with non-instantaneous impulses in Banach space. Based on the general Banach contraction principle, we develop the main results. Ultimately, an example is given for the theoretical results to be justified.