A Kamenev-type oscillation result for a linear (1+α)-order fractional differential equation
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摘要
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).
论文关键词:Fractional differential equation,Oscillatory solution,Caputo differential operator,Riccati inequality,Averaging of coefficients
论文评审过程:Available online 17 March 2015.
论文官网地址:https://doi.org/10.1016/j.amc.2015.02.045