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Oscillation on a Class of Differential Equations of Fractional Order

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  • Tongbo Liu
  • Bin Zheng
  • Fanwei Meng

Abstract

Based on Riccati transformation and certain inequality technique, some new oscillatory criteria are established for the solutions of a class of sequential differential equations with fractional order defined in the modified Riemann-Liouville derivative. The oscillatory criteria established are of new forms compared with the existing results so far in the literature. For illustrating the validity of the results established, we present some examples for them.

Suggested Citation

  • Tongbo Liu & Bin Zheng & Fanwei Meng, 2013. "Oscillation on a Class of Differential Equations of Fractional Order," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-13, September.
    • Handle: RePEc:hin:jnlmpe:830836
    DOI: 10.1155/2013/830836
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    Cited by:

    1. Jehad Alzabut & Velu Muthulakshmi & Abdullah Özbekler & Hakan Adıgüzel, 2019. "On the Oscillation of Non-Linear Fractional Difference Equations with Damping," Mathematics, MDPI, vol. 7(8), pages 1-14, August.

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