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IJAMR International Journal of Applied Mathematical Research E-ISSN 2227-4324

Oscillatory behavior of a class of fractional difference equations with damping

Authors and Affiliations

  • 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

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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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[4] Da-Xue Chen, Oscillatory behavior of a class of fractional differential equations with damping, U.P.B. Sci. Bull., Series A, Vol. 75, Iss. 1, 2013.

[5] S.Lourdu Marian, M. Reni Sagayaraj, A.George Maria Selvam, M.Paul Loganathan, Oscillation of fractional nonlinear difference equations, Mathematica Aeterna, Vol. 2, 2012, no. 9, 805 - 813.

View more references (4)

[6] M. Reni Sagayaraj, A.George Maria Selvam, M.Paul Loganathan, Oscillation of Caputo like discrete fractional difference equations, IJPAM, Vol. 89, no. 5,2013, 667 - 677.

[7] M. Reni Sagayaraj, A.George Maria Selvam, M.Paul Loganathan, On the oscillation nonlinear fractional nonlinear difference equations, Mathematica Aeterna, Vol. 4, 2014, no. 1, 91 - 99.

[8] F. M. Atici, P. W. Eloe, Initial value problems in discrete fractional calculus, Proceedings of the American Mathematical Society, Vol. 137, No. 3, pp. 981-989, 2009.

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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