A Kamenev-type oscillation result for a linear (1+α)-order fractional differential equation

Dumitru Băleanu, Octavian G. Mustafa and O’Regan, Donal

Applied Mathematics and Computation, 2015, vol. 259, issue C, 374-378

Abstract: We investigate the eventual sign changing for the solutions of the linear equation x(α)′+q(t)x=0,t⩾0, when the functional coefficient q satisfies the Kamenev-type restriction limsupt→+∞1tε∫t0t(t-s)εq(s)ds=+∞ for some ε>2,t0>0. The operator x(α) is the Caputo differential operator and α∈(0,1).

Keywords: Fractional differential equation; Oscillatory solution; Caputo differential operator; Riccati inequality; Averaging of coefficients (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:374-378

DOI: 10.1016/j.amc.2015.02.045

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