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CASE STUDY ON TOTAL CONTROLLABILITY AND OPTIMAL CONTROL OF HILFER NEUTRAL NON-INSTANTANEOUS FRACTIONAL DERIVATIVEopen access
- Authors
- Nisar, Kottakkaran Sooppy; Ravichandran, C.; Abdel-Aty, Abdel-Haleem; Yahia, Ibrahim S.; Park, Choon kil
- Issue Date
- Aug-2022
- Publisher
- World Scientific
- Keywords
- Hilfer Derivative; Total Controllability; Kuratowski Measure; Non-instantaneous Impulses; Banach Space; Fractional Calculus
- Citation
- Fractals, v.30, no.5, pp 1 - 17
- Pages
- 17
- Indexed
- SCIE
SCOPUS
- Journal Title
- Fractals
- Volume
- 30
- Number
- 5
- Start Page
- 1
- End Page
- 17
- ISSN
- 0218-348X
1793-6543
- Abstract
- The aim of the study is to discuss the controllability results of Hilfer neutral non-instantaneous impulsive fractional integro-differential equations (HNNIIFIE). Total controllability results were discussed by employing set-contraction theory and Kuratowski measure of non-compactness. Also we derived the results on optimal control using appropriate conditions. An illustration is given to validate the outcomes.
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