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Some New Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Damping Term

Author

Listed:
  • Bin Zheng
  • Qinghua Feng

Abstract

We are concerned with oscillation of solutions of a class of nonlinear fractional differential equations with damping term. Based on a generalized Riccati function and inequality technique, we establish some new oscillation criteria for it. Some applications are also presented for the established results.

Suggested Citation

  • Bin Zheng & Qinghua Feng, 2013. "Some New Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Damping Term," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-11, November.
    • Handle: RePEc:hin:jnljam:912072
    DOI: 10.1155/2013/912072
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    Cited by:

    1. Abdalla, Bahaaeldin & Abdeljawad, Thabet, 2019. "On the oscillation of Caputo fractional differential equations with Mittag–Leffler nonsingular kernel," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 173-177.
    2. 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.
    3. Yunlan Wei & Yanpeng Zheng & Zhaolin Jiang & Sugoog Shon, 2019. "A Study of Determinants and Inverses for Periodic Tridiagonal Toeplitz Matrices with Perturbed Corners Involving Mersenne Numbers," Mathematics, MDPI, vol. 7(10), pages 1-11, September.

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