Existence results for Atangana-Baleanu fractional neutral integro-differential systems with infinite delay through sectorial operators

M. Mallika Arjunan, A. Hamiaz and V. Kavitha

Chaos, Solitons & Fractals, 2021, vol. 149, issue C

Abstract: This manuscript’s main objective is to examine the existence of mild solution of Atangana-Baleanu fractional order semi-linear integro-differential equations [ABFSIDE] and semi-linear neutral integro-differential evolution equations [ABFSNIDE] with infinite delay [ID] in Banach spaces. We introduce an appropriate definition of a mild solution for these systems. Based on the Banach contraction principle, nonlinear alternative of Leray-Schauder type and Krasnoselskii-Schaefer fixed point theorem joined with ρ-resolvent operators, we develop the main results. Finally, an example is given to justify the theoretical results.

Keywords: Fractional differential equation; Neutral system; Solution operator; Infinite delay; 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:149:y:2021:i:c:s0960077921003969

DOI: 10.1016/j.chaos.2021.111042

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