Controllability of neutral impulsive fractional differential equations with Atangana-Baleanu-Caputo derivatives. (September 2021)

• Record Type: Journal Article
• Authors: Bedi, Pallavi; Kumar, Anoop; Khan, Aziz
• Is Part Of: Chaos, solitons and fractals. Volume 150(2021)
• Publication Date: 2021-09
• Subjects: Fractional differential equations -- ABC- derivatives -- Fixed point theory -- Controllability -- Non-instantaneous impulses; 34K37 -- 47H08 -- 47H10 -- 93C27; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2021.111153
• Languages: English
• ISSNs: 0960-0779

Abstract

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.