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

2013/10/16 by Dumitru Baleanu, Baleanu, Dumitru, Octavian G. Mustafa +3
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA

paper · pdf · doi:10.48550/arxiv.1310.4365

arxiv created 2013/10/16 · arxiv updated 2013/10/21

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 \limsup_t→+∞\frac1t^ε∫_t0^t(t-s)^εq(s)ds=+∞ for some ε>2, t₀>0. The operator x^(α) is the Caputo differential operator and α∈(0,1).

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