Abdelkrim Salim, M. Benchohra, J. Lazreg, J. Henderson
{"title":"Banach空间中非瞬时脉冲非线性隐式广义hilfer型分数阶微分方程","authors":"Abdelkrim Salim, M. Benchohra, J. Lazreg, J. Henderson","doi":"10.31197/atnaa.825294","DOIUrl":null,"url":null,"abstract":"In the present article, we prove some results concerning the existence of solutions for a class of initial value problem for nonlinear implicit fractional di erential equations with non-instantaneous impulses and generalized Hilfer fractional derivative in Banach spaces. The results are based on xed point theorems of Darbo and Mönch associated with the technique of measure of noncompactness. An example is included to show the applicability of our results.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"2014 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"25","resultStr":"{\"title\":\"Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Non-Instantaneous Impulses in Banach Spaces\",\"authors\":\"Abdelkrim Salim, M. Benchohra, J. Lazreg, J. Henderson\",\"doi\":\"10.31197/atnaa.825294\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present article, we prove some results concerning the existence of solutions for a class of initial value problem for nonlinear implicit fractional di erential equations with non-instantaneous impulses and generalized Hilfer fractional derivative in Banach spaces. The results are based on xed point theorems of Darbo and Mönch associated with the technique of measure of noncompactness. An example is included to show the applicability of our results.\",\"PeriodicalId\":7440,\"journal\":{\"name\":\"Advances in the Theory of Nonlinear Analysis and its Application\",\"volume\":\"2014 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"25\",\"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.825294\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in the Theory of Nonlinear Analysis and its Application","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31197/atnaa.825294","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Non-Instantaneous Impulses in Banach Spaces
In the present article, we prove some results concerning the existence of solutions for a class of initial value problem for nonlinear implicit fractional di erential equations with non-instantaneous impulses and generalized Hilfer fractional derivative in Banach spaces. The results are based on xed point theorems of Darbo and Mönch associated with the technique of measure of noncompactness. An example is included to show the applicability of our results.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
