A NOTE ON CONTROLLABILITY OF NONINSTANTANEOUS IMPULSIVE ATANGANA–BALEANU–CAPUTO NEUTRAL FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS

A NOTE ON CONTROLLABILITY OF NONINSTANTANEOUS IMPULSIVE ATANGANA–BALEANU–CAPUTO NEUTRAL FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS

This paper describes the required and adequate conditions for controllability and optimal controls of Atangana–Baleanu–Caputo (ABC) neutral fractional integrodifferential equations (NFIE) with noninstantaneous impulses. Measure of noncompactness, semigroup theory, fractional calculus and fixed point...

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Veröffentlicht in:Fractals (Singapore) 2022-12, Vol.30 (8)
Hauptverfasser: NISAR, KOTTAKKARAN SOOPPY, VIJAYARAJ, V., VALLIAMMAL, N., LOGESWARI, K., RAVICHANDRAN, C., ABDEL-ATY, ABDEL-HALEEM, YAHIA, IBRAHIM S.
Format: Artikel
Sprache:eng
Schlagworte:
Controllability
Fractional calculus
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Beschreibung
Zusammenfassung:This paper describes the required and adequate conditions for controllability and optimal controls of Atangana–Baleanu–Caputo (ABC) neutral fractional integrodifferential equations (NFIE) with noninstantaneous impulses. Measure of noncompactness, semigroup theory, fractional calculus and fixed point techniques act as the main tools in deriving the results. An illustration is offered to enhance our theoretical outcomes.
ISSN:0218-348X
1793-6543
DOI:10.1142/S0218348X22402034