非局部条件下Hilfer分数Sobolev型积分微分包体的近似可控性

IF 0.2 Q4 MATHEMATICS, APPLIED International Journal of Dynamical Systems and Differential Equations Pub Date : 2020-02-05 DOI:10.1504/ijdsde.2020.10026687

Saranya Subbaiyan, A. Debbouche, Jinrong Wang

{"title":"非局部条件下Hilfer分数Sobolev型积分微分包体的近似可控性","authors":"Saranya Subbaiyan, A. Debbouche, Jinrong Wang","doi":"10.1504/ijdsde.2020.10026687","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate approximate controllability of Hilfer fractional Sobolev type differential inclusions with nonlocal conditions. The main techniques rely on the fixed point theorem combined with the semigroup theory, fractional calculus and multivalued analysis. An example is provided to illustrate the obtained results.","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.2000,"publicationDate":"2020-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Approximate controllability of Hilfer fractional Sobolev type integrodifferential inclusions with nonlocal conditions\",\"authors\":\"Saranya Subbaiyan, A. Debbouche, Jinrong Wang\",\"doi\":\"10.1504/ijdsde.2020.10026687\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we investigate approximate controllability of Hilfer fractional Sobolev type differential inclusions with nonlocal conditions. The main techniques rely on the fixed point theorem combined with the semigroup theory, fractional calculus and multivalued analysis. An example is provided to illustrate the obtained results.\",\"PeriodicalId\":43101,\"journal\":{\"name\":\"International Journal of Dynamical Systems and Differential Equations\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2020-02-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Dynamical Systems and Differential Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1504/ijdsde.2020.10026687\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Dynamical Systems and Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/ijdsde.2020.10026687","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 3

摘要

本文研究了具有非局部条件的Hilfer分数Sobolev型微分包体的近似可控性。主要技术依靠不动点定理与半群理论、分数微积分和多值分析相结合。最后给出了一个算例来说明所得结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Approximate controllability of Hilfer fractional Sobolev type integrodifferential inclusions with nonlocal conditions

In this paper, we investigate approximate controllability of Hilfer fractional Sobolev type differential inclusions with nonlocal conditions. The main techniques rely on the fixed point theorem combined with the semigroup theory, fractional calculus and multivalued analysis. An example is provided to illustrate the obtained results.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

International Journal of Dynamical Systems and Differential Equations MATHEMATICS, APPLIED-

CiteScore

0.80

自引率

0.00%

发文量

期刊介绍： IJDSDE is a quarterly international journal that publishes original research papers of high quality in all areas related to dynamical systems and differential equations and their applications in biology, economics, engineering, physics, and other related areas of science. Manuscripts concerned with the development and application innovative mathematical tools and methods from dynamical systems and differential equations, are encouraged.