Discussion on the Approximate Controllability of Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operatorsopen access
- Authors
- Varun, Bose C.S.; Udhayakumar, R.; Elshenhab, A.M.; Kumar, M.S.; Ro, J.-S.
- Issue Date
- Oct-2022
- Publisher
- MDPI
- Keywords
- approximate controllability; Hilfer fractional system; multivalued maps; sectorial operators
- Citation
- Fractal and Fractional, v.6, no.10
- Journal Title
- Fractal and Fractional
- Volume
- 6
- Number
- 10
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/67473
- DOI
- 10.3390/fractalfract6100607
- ISSN
- 2504-3110
2504-3110
- Abstract
- 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.
- Files in This Item
-
- Appears in
Collections - College of ICT Engineering > School of Electrical and Electronics Engineering > 1. Journal Articles
![qrcode](https://api.qrserver.com/v1/create-qr-code/?size=55x55&data=https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/67473)
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.