On a new class of Atangana-Baleanu fractional Volterra-Fredholm integro-differential inclusions with non-instantaneous impulses

M. Mallika Arjunan, Thabet Abdeljawad, V. Kavitha and Ali Yousef

Chaos, Solitons & Fractals, 2021, vol. 148, issue C

Abstract: This manuscripts main objective is to examine the existence of piecewise-continuous mild solution of Atangana-Baleanu fractional Volterra-Fredholm integro-differential inclusions (ABFVFIDI) with non-instantaneous impulses (NII) in Banach space. Based on Martelli’s fixed point theorem and ρ-resolvent operators, we develop the main results. An example is given to support the validation of the theoretical results achieved.

Keywords: Fractional differential inclusions; Impulsive conditions; Solution operator; Martelli’s fixed point theorem (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:148:y:2021:i:c:s096007792100429x

DOI: 10.1016/j.chaos.2021.111075

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