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

Author

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

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).

Suggested Citation

  • Băleanu, Dumitru & Mustafa, Octavian G. & O’Regan, Donal, 2015. "A Kamenev-type oscillation result for a linear (1+α)-order fractional differential equation," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 374-378.
    • Handle: RePEc:eee:apmaco:v:259:y:2015:i:c:p:374-378
    DOI: 10.1016/j.amc.2015.02.045
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    References listed on IDEAS

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    1. Dumitru Băleanu & Octavian G. Mustafa & Ravi P. Agarwal, 2010. "Asymptotically Linear Solutions for Some Linear Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
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