On new approach of fractional derivative by Mittag-Leffler kernel to neutral integro-differential systems with impulsive conditions

C. Ravichandran, K. Logeswari, Sumati Kumari Panda and Kottakkaran Sooppy Nisar

Chaos, Solitons & Fractals, 2020, vol. 139, issue C

Abstract: In this article, we study an impulsive neutral fractional integro-differential equation (FIDE) via Atangana-Baleanu fractional derivative. The fixed point approach is employed to prove the existence results of the equation with initial and non-local conditions. The application of the results obtained are verified using suitable examples of different fractional orders.

Keywords: Fractional calculus; Impulsive; Neutral equations; AB-derivative; Fixed point techniques (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920304100

DOI: 10.1016/j.chaos.2020.110012

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