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The asymptotic behavior of solutions of discrete nonlinear fractional equations

  • Mustafa Bayram , Aydin Secer and Hakan Adiguzel EMAIL logo

Abstract

In this study, we consider a class of nonlinear fractional difference equations following form:

ΔatgΔαxt+Ft,s=t0t1+αts1αxs=0,

where t ∈ ℕt0+1–α and Δα denotes the Riemann-Liouville fractional difference operator of order α. Using the generalized Riccati function, we obtain some oscillation criteria. Finally, we give some illustrative examples.

Acknowledgements

The authors would like to thank the anonymous referees for their valuable suggestions and comments for improvement of the paper.

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Received: 2018-09-28
Revised: 2020-10-01
Published Online: 2020-11-13
Published in Print: 2020-10-27

© 2020 Diogenes Co., Sofia

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