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New Oscillation Criteria for Forced Nonlinear Fractional Difference Equations

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Abstract

By using the fractional Volterra sum equations and Young’s inequalities, new oscillation criteria are established for nonlinear forced fractional difference equations within Riemann–Liouville and Caputo’s operators of arbitrary order. Our results extend some recent theorems in the literature. Numerical examples are provided to demonstrate the validity of the proposed results.

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Acknowledgments

The authors would like to express their sincere thanks and gratefulness to the anonymous referees for their precious help and guidance. We believe that their comments and suggestions have increased the accuracy and quality of this paper.

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Authors and Affiliations

  1. Department of Mathematics and Physical Sciences, Prince Sultan University, P.O. Box 66833, 11586, Riyadh, Saudi Arabia

    Bahaa Abdalla, Kamaleldin Abodayeh, Thabet Abdeljawad & Jehad Alzabut

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  1. Bahaa Abdalla
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  2. Kamaleldin Abodayeh
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  3. Thabet Abdeljawad
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  4. Jehad Alzabut
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Correspondence to Jehad Alzabut.

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Abdalla, B., Abodayeh, K., Abdeljawad, T. et al. New Oscillation Criteria for Forced Nonlinear Fractional Difference Equations. Vietnam J. Math. 45, 609–618 (2017). https://doi.org/10.1007/s10013-016-0230-y

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  • DOI: https://doi.org/10.1007/s10013-016-0230-y

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