On the oscillation of Caputo fractional differential equations with Mittag–Leffler nonsingular kernel

Bahaaeldin Abdalla and Thabet Abdeljawad

Chaos, Solitons & Fractals, 2019, vol. 127, issue C, 173-177

Abstract: In this article, we derive sufficient conditions to prove the oscillation for solutions of Caputo fractional differential equations with Mittag–Leffler nonsingular kernel of the form{(aABCDκ0ξ)(t)+ϕ1(t,ξ)=θ(t)+ϕ2(t,ξ),t>aξk(a)=bk(k=0,1,…,n),where n<κ0≤n+1 and aABCDκ0 is the left-fractional Caputo derivative with Mittag–Leffler nonsingular kernel or the Atangana–Baleanu fractional derivative in the sense of Caputo. An example is given to validate part of the proven results.

Keywords: Mittag–Leffler; Nonsingular kernel; Fractional differential equations; Oscillation theory (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:127:y:2019:i:c:p:173-177

DOI: 10.1016/j.chaos.2019.07.001

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