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Controllability of neutral impulsive fractional differential equations with Atangana-Baleanu-Caputo derivatives
Journal article   Peer reviewed

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

Pallavi Bedi, Anoop Kumar and Aziz Khan
Chaos, solitons and fractals, Vol.150, p.111153
09/2021
DOI: https://doi.org/10.1016/j.chaos.2021.111153

Abstract

[formula omitted]- derivatives Controllability Fixed point theory Fractional differential equations Non-instantaneous impulses
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.

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