{"title":"具有非瞬时脉冲的分数阶混合型积分微分方程的存在性结果","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":"{\"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}","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}
Existence results for fractional order mixed type integro-differential equations with non-instantaneous impulses
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.