Analysis on the Controllability of Hilfer Fractional Neutral Differential Equations with Almost Sectorial Operators and Infinite Delay via Measure of Noncompactness
In this paper, we formulate the new set of sufficient conditions for the controllability of Hilfer fractional neutral differential systems with almost sectorial operator and infinite delay. Firstly, we show the controllability of the system using the MNC and the M o ¨ nch’s fixed point theorem. Fina...
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| Veröffentlicht in: | Qualitative theory of dynamical systems 2023-03, Vol.22 (1), Article 22 |
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| container_title | Qualitative theory of dynamical systems |
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| creator | Bose, C. S. Varun Udhayakumar, R. |
| description | In this paper, we formulate the new set of sufficient conditions for the controllability of Hilfer fractional neutral differential systems with almost sectorial operator and infinite delay. Firstly, we show the controllability of the system using the
MNC
and the M
o
¨
nch’s fixed point theorem. Finally, we extend the results to the controllability of the system with nonlocal conditions, and some applications are provided to demonstrate how the major results might be applied. |
| doi_str_mv | 10.1007/s12346-022-00719-2 |
| format | Article |
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MNC
and the M
o
¨
nch’s fixed point theorem. Finally, we extend the results to the controllability of the system with nonlocal conditions, and some applications are provided to demonstrate how the major results might be applied.</description><identifier>ISSN: 1575-5460</identifier><identifier>EISSN: 1662-3592</identifier><identifier>DOI: 10.1007/s12346-022-00719-2</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Controllability ; Difference and Functional Equations ; Differential equations ; Dynamical Systems and Ergodic Theory ; Fixed points (mathematics) ; Mathematics ; Mathematics and Statistics</subject><ispartof>Qualitative theory of dynamical systems, 2023-03, Vol.22 (1), Article 22</ispartof><rights>The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c249t-17149728c19bfe4f16e8ed3b138edd0ef8b895082553340410d9ddf238783f593</citedby><cites>FETCH-LOGICAL-c249t-17149728c19bfe4f16e8ed3b138edd0ef8b895082553340410d9ddf238783f593</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s12346-022-00719-2$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s12346-022-00719-2$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Bose, C. S. Varun</creatorcontrib><creatorcontrib>Udhayakumar, R.</creatorcontrib><title>Analysis on the Controllability of Hilfer Fractional Neutral Differential Equations with Almost Sectorial Operators and Infinite Delay via Measure of Noncompactness</title><title>Qualitative theory of dynamical systems</title><addtitle>Qual. Theory Dyn. Syst</addtitle><description>In this paper, we formulate the new set of sufficient conditions for the controllability of Hilfer fractional neutral differential systems with almost sectorial operator and infinite delay. Firstly, we show the controllability of the system using the
MNC
and the M
o
¨
nch’s fixed point theorem. Finally, we extend the results to the controllability of the system with nonlocal conditions, and some applications are provided to demonstrate how the major results might be applied.</description><subject>Controllability</subject><subject>Difference and Functional Equations</subject><subject>Differential equations</subject><subject>Dynamical Systems and Ergodic Theory</subject><subject>Fixed points (mathematics)</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><issn>1575-5460</issn><issn>1662-3592</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp9Uctu2zAQFIoEaB79gZ4I9KyWD1EUj4btxAbc-ND2TNDSsmEgkw6XSuD_6YeGrgP01tPsYmZ2sJiq-szoV0ap-oaMi6atKed1WZmu-YfqirUtr4XU_KLMUslaNi39WF0jPlHaciX4VfVnFux4RI8kBpIfgcxjyCmOo9350ecjiY6s_Oggkbtk--xj0ZMHmHIquPCuMBCyL8vyebInHsmrz49kNu4jZvID-hzTid8eINkyI7FhIOvgfPAZyAJGeyQv3pLvYHFKcIp8iKGP-0MJDIB4W106OyJ8eseb6tfd8ud8VW-29-v5bFP3vNG5Zoo1WvGuZ3rnoHGshQ4GsWOiwEDBdbtOS9pxKYVoaMPooIfBcdGpTjipxU315Xz3kOLzBJjNU5xSeRgNV1JpRbUQRcXPqj5FxATOHJLf23Q0jJpTG-bchiltmL9tGF5M4mzCIg6_If07_R_XG6Xmj-o</recordid><startdate>20230301</startdate><enddate>20230301</enddate><creator>Bose, C. S. Varun</creator><creator>Udhayakumar, R.</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20230301</creationdate><title>Analysis on the Controllability of Hilfer Fractional Neutral Differential Equations with Almost Sectorial Operators and Infinite Delay via Measure of Noncompactness</title><author>Bose, C. S. Varun ; Udhayakumar, R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c249t-17149728c19bfe4f16e8ed3b138edd0ef8b895082553340410d9ddf238783f593</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Controllability</topic><topic>Difference and Functional Equations</topic><topic>Differential equations</topic><topic>Dynamical Systems and Ergodic Theory</topic><topic>Fixed points (mathematics)</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bose, C. S. Varun</creatorcontrib><creatorcontrib>Udhayakumar, R.</creatorcontrib><collection>CrossRef</collection><jtitle>Qualitative theory of dynamical systems</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bose, C. S. Varun</au><au>Udhayakumar, R.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analysis on the Controllability of Hilfer Fractional Neutral Differential Equations with Almost Sectorial Operators and Infinite Delay via Measure of Noncompactness</atitle><jtitle>Qualitative theory of dynamical systems</jtitle><stitle>Qual. Theory Dyn. Syst</stitle><date>2023-03-01</date><risdate>2023</risdate><volume>22</volume><issue>1</issue><artnum>22</artnum><issn>1575-5460</issn><eissn>1662-3592</eissn><abstract>In this paper, we formulate the new set of sufficient conditions for the controllability of Hilfer fractional neutral differential systems with almost sectorial operator and infinite delay. Firstly, we show the controllability of the system using the
MNC
and the M
o
¨
nch’s fixed point theorem. Finally, we extend the results to the controllability of the system with nonlocal conditions, and some applications are provided to demonstrate how the major results might be applied.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s12346-022-00719-2</doi></addata></record> |
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| subjects | Controllability Difference and Functional Equations Differential equations Dynamical Systems and Ergodic Theory Fixed points (mathematics) Mathematics Mathematics and Statistics |
| title | Analysis on the Controllability of Hilfer Fractional Neutral Differential Equations with Almost Sectorial Operators and Infinite Delay via Measure of Noncompactness |
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