Controllability of neutral impulsive fractional differential equations with Atangana-Baleanu-Caputo derivatives

Pallavi Bedi, Anoop Kumar and Aziz Khan

Chaos, Solitons & Fractals, 2021, vol. 150, issue C

Abstract: In this article, we aim to establish the controllability results for fractional differential equations of neutral type with Atangana-Baleanu-Caputo derivatives. We develop these results with the help of the theory of semigroup operators and fixed point theorem coupled with a measure of noncompactness. An example is also presented to verify the applicability of the obtained results.

Keywords: Fractional differential equations; ABC- derivatives; Fixed point theory; Controllability; Non-instantaneous impulses (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921005075

DOI: 10.1016/j.chaos.2021.111153

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