Oscillatory behavior of a class of fractional difference equations with damping

  • Authors

    • George Maria Selvam Associate Professor of Mathematics Sacred Heart College Tirupattur - 635 601 S.India
    • Reni Sagayaraj Head, Associate professor, Sacred Heart College Tirupattur - 635 601 S.India
    • Paul Loganathan Research Scholar, Dravidian University Kuppam Andhra Pradesh S.India
    2014-06-14
    https://doi.org/10.14419/ijamr.v3i3.2624

  • Abstract

    This paper investigates the oscillation of a class of fractional difference equations with damping term of the form

     

    where denotes the Riemann-Liouville difference operator of order  is a quotient of odd positive integers. Based on a generalized Riccati transformation and some inequalities, we establish some sufficient conditions of oscillation criteria for it. Some applications are also presented for the established results.

    Keywords: Difference Equations, Oscillation, Fractional Order, Damping.

  • References

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  • How to Cite

    Maria Selvam, G., Sagayaraj, R., & Loganathan, P. (2014). Oscillatory behavior of a class of fractional difference equations with damping. International Journal of Applied Mathematical Research, 3(3), 220-224. https://doi.org/10.14419/ijamr.v3i3.2624

    Received date: 2014-05-01

    Accepted date: 2014-05-31

    Published date: 2014-06-14