4.7 Article

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

Journal

CHAOS SOLITONS & FRACTALS
Volume 148, Issue -, Pages -

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2021.111075

Keywords

Fractional differential inclusions; Impulsive conditions; Solution operator; Martelli's fixed point theorem

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This paper examines 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. The main results are developed based on Martelli's fixed point theorem and rho-resolvent operators, with an example provided to support the validation of the theoretical results.
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 rho-resolvent operators, we develop the main results. An example is given to support the validation of the theoretical results achieved. (C) 2021 Elsevier Ltd. All rights reserved.

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