Existence of mild solution of Atangana–Baleanu fractional differential equations with non-instantaneous impulses and with non-local conditions

Ashish Kumar and Dwijendra N. Pandey

Chaos, Solitons & Fractals, 2020, vol. 132, issue C

Abstract: The main objective of this article is to provide the set of sufficient conditions for the existence of mild solution of Atangana–Baleanu fractional differential system with non-instantaneous impulses. Results are obtained via non-compactness of the semigroup and fixed point theory. In the end, an example is given to justify the theoretical results.

Keywords: Atangana–Baleanu derivative; Fractional differential equations; Fixed point theorems (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:132:y:2020:i:c:s0960077919305089

DOI: 10.1016/j.chaos.2019.109551

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