Controllability of semilinear noninstantaneous impulsive ABC neutral fractional differential equations

P. Balasubramaniam

Chaos, Solitons & Fractals, 2021, vol. 152, issue C

Abstract: In this paper, the necessary and sufficient conditions are derived for the controllability of Atangana-Baleanu-Caputo (ABC) neutral fractional differential equations (FDEs) with noninstantaneous (NI) impulses. The main controllability result is obtained by using the concept of measure of noncompactness, semigroup, fractional calculus, and K-set contraction principle. An illustration is provided to validate the established theoretical result.

Keywords: Controllability; Fractional calculus; Fixed point theorem; Noninstantaneous impulse; Semigroup (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921006305

DOI: 10.1016/j.chaos.2021.111276

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