{"title":"具有脉冲效应的泛函分数阶微分包含的一些新结果","authors":"N. Alsarori, K. Ghadle","doi":"10.30495/JME.V0I0.1566","DOIUrl":null,"url":null,"abstract":"Nonlocal functional fractional differential inclusions with impulses effect in Banach spaces are studied. This paper deals with the case when the multivalued function is lower semicontinuous and nonconvex as well as the linear term generates a semigroup which is not,in general, compact. Our results are obtained by using NCHM ( noncompactness Hausdorff measure), multivalued properties and theorems of fixed point. We finally present an example to lighten our results.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2020-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some new result for functional fractional differential inclusion with impulse effect\",\"authors\":\"N. Alsarori, K. Ghadle\",\"doi\":\"10.30495/JME.V0I0.1566\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Nonlocal functional fractional differential inclusions with impulses effect in Banach spaces are studied. This paper deals with the case when the multivalued function is lower semicontinuous and nonconvex as well as the linear term generates a semigroup which is not,in general, compact. Our results are obtained by using NCHM ( noncompactness Hausdorff measure), multivalued properties and theorems of fixed point. We finally present an example to lighten our results.\",\"PeriodicalId\":43745,\"journal\":{\"name\":\"Journal of Mathematical Extension\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2020-11-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Extension\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30495/JME.V0I0.1566\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Extension","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30495/JME.V0I0.1566","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Some new result for functional fractional differential inclusion with impulse effect
Nonlocal functional fractional differential inclusions with impulses effect in Banach spaces are studied. This paper deals with the case when the multivalued function is lower semicontinuous and nonconvex as well as the linear term generates a semigroup which is not,in general, compact. Our results are obtained by using NCHM ( noncompactness Hausdorff measure), multivalued properties and theorems of fixed point. We finally present an example to lighten our results.
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