Discussion on the Approximate Controllability of Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators
This paper focuses on the approximate controllability of Hilfer fractional neutral Volterra integro-differential inclusions via almost sectorial operators. Almost sectorial operators, fractional differential, Leray-Schauder fixed point theorem and multivalued maps are used to prove the result. We st...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/6/10/607 |
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| author | Chandrabose Sindhu Varun Bose Ramalingam Udhayakumar Ahmed M. Elshenhab Marappan Sathish Kumar Jong-Suk Ro |
| author_facet | Chandrabose Sindhu Varun Bose Ramalingam Udhayakumar Ahmed M. Elshenhab Marappan Sathish Kumar Jong-Suk Ro |
| author_sort | Chandrabose Sindhu Varun Bose |
| collection | DOAJ |
| description | This paper focuses on the approximate controllability of Hilfer fractional neutral Volterra integro-differential inclusions via almost sectorial operators. Almost sectorial operators, fractional differential, Leray-Schauder fixed point theorem and multivalued maps are used to prove the result. We start by emphasizing the existence of a mild solution and demonstrate the approximate controllability of the fractional system. In addition, an example is presented to demonstrate the principle. |
| first_indexed | 2024-03-09T20:11:38Z |
| format | Article |
| id | doaj.art-64745cb7798a40349f6bd61d21ab1d6b |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T20:11:38Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-64745cb7798a40349f6bd61d21ab1d6b2023-11-24T00:12:23ZengMDPI AGFractal and Fractional2504-31102022-10-0161060710.3390/fractalfract6100607Discussion on the Approximate Controllability of Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial OperatorsChandrabose Sindhu Varun Bose0Ramalingam Udhayakumar1Ahmed M. Elshenhab2Marappan Sathish Kumar3Jong-Suk Ro4Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, IndiaDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, IndiaSchool of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Paavai Engineering College (Autonomous), Namakkal 637 018, Tamil Nadu, IndiaSchool of Electrical and Electronics Engineering, Chung-Ang University, Dongjak-gu, Seoul 06974, KoreaThis paper focuses on the approximate controllability of Hilfer fractional neutral Volterra integro-differential inclusions via almost sectorial operators. Almost sectorial operators, fractional differential, Leray-Schauder fixed point theorem and multivalued maps are used to prove the result. We start by emphasizing the existence of a mild solution and demonstrate the approximate controllability of the fractional system. In addition, an example is presented to demonstrate the principle.https://www.mdpi.com/2504-3110/6/10/607Hilfer fractional systemmultivalued mapssectorial operatorsapproximate controllability |
| spellingShingle | Chandrabose Sindhu Varun Bose Ramalingam Udhayakumar Ahmed M. Elshenhab Marappan Sathish Kumar Jong-Suk Ro Discussion on the Approximate Controllability of Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators Fractal and Fractional Hilfer fractional system multivalued maps sectorial operators approximate controllability |
| title | Discussion on the Approximate Controllability of Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators |
| title_full | Discussion on the Approximate Controllability of Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators |
| title_fullStr | Discussion on the Approximate Controllability of Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators |
| title_full_unstemmed | Discussion on the Approximate Controllability of Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators |
| title_short | Discussion on the Approximate Controllability of Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators |
| title_sort | discussion on the approximate controllability of hilfer fractional neutral integro differential inclusions via almost sectorial operators |
| topic | Hilfer fractional system multivalued maps sectorial operators approximate controllability |
| url | https://www.mdpi.com/2504-3110/6/10/607 |
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