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Bounded Non-oscillatory Solutions of Nabla Forced Fractional Difference Equations with Positive and Negative Terms

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Abstract

This paper studies the boundedness of non-oscillatory solutions of nabla fractional difference equations with positive and negative terms. Unlike the methods existing in the literature, our approach is primarily based on the new defined properties of discrete fractional calculus and some mathematical inequalities. Examples are provided to support the validity of the obtained results.

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Acknowledgements

J. Alzabut would like to thank Prince Sultan University and Ostim Technical University for supporting this research.

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Authors and Affiliations

  1. Department of Mathematics and Sciences, Prince Sultan University, 11586, Riyadh, Saudi Arabia

    J. Alzabut

  2. Department of Industrial Engineering, OSTİM Technical University, 06374, Ankara, Turkey

    J. Alzabut

  3. Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Giza, 12221, Egypt

    S. R. Grace

  4. Department of Mathematics, Birla Institute of Technology and Science Pilani, Hyderabad, Telangana, 500078, India

    J. M. Jonnalagadda

  5. Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai, 600005, India

    E. Thandapani

Authors
  1. J. Alzabut
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  2. S. R. Grace
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  3. J. M. Jonnalagadda
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  4. E. Thandapani
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All authors contributed equally and significantly to this paper. All authors have read and approved the final version of the manuscript.

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Correspondence to J. Alzabut.

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Alzabut, J., Grace, S.R., Jonnalagadda, J.M. et al. Bounded Non-oscillatory Solutions of Nabla Forced Fractional Difference Equations with Positive and Negative Terms. Qual. Theory Dyn. Syst. 22, 28 (2023). https://doi.org/10.1007/s12346-022-00729-0

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  • DOI: https://doi.org/10.1007/s12346-022-00729-0

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