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

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

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 obtaine...

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Veröffentlicht in:Chaos, solitons and fractals solitons and fractals, 2020-10, Vol.139, p.110012, Article 110012
Hauptverfasser: Ravichandran, C., Logeswari, K., Panda, Sumati Kumari, Nisar, Kottakkaran Sooppy
Format: Artikel
Sprache:eng
Schlagworte:
AB-derivative
Fixed point techniques
Fractional calculus
Impulsive
Neutral equations
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Zusammenfassung: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.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2020.110012