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A Survey on the Oscillation of Solutions for Fractional Difference Equations

Author

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  • Jehad Alzabut

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 12435, Saudi Arabia
    Department of Industrial Engineering, OSTİM Technical University, Ankara 06374, Turkey
    These authors contributed equally to this work.)

  • Ravi P. Agarwal

    (Department of Mathematics, Texas A&M University-Kingvsille, Kingsville, TX 7836, USA
    These authors contributed equally to this work.)

  • Said R. Grace

    (Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Giza 12221, Egypt
    These authors contributed equally to this work.)

  • Jagan M. Jonnalagadda

    (Department of Mathematics, Birla Institute of Technology and Science Pilani, Hyderabad 500078, Telangana, India
    These authors contributed equally to this work.)

  • A. George Maria Selvam

    (Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur 635 601, Tamil Nadu, India
    These authors contributed equally to this work.)

  • Chao Wang

    (Department of Mathematics, Yunnan University, Kunming 650091, China
    These authors contributed equally to this work.)

Abstract

In this paper, we present a systematic study concerning the developments of the oscillation results for the fractional difference equations. Essential preliminaries on discrete fractional calculus are stated prior to giving the main results. Oscillation results are presented in a subsequent order and for different types of equations. The investigation was carried out within the delta and nabla operators.

Suggested Citation

  • Jehad Alzabut & Ravi P. Agarwal & Said R. Grace & Jagan M. Jonnalagadda & A. George Maria Selvam & Chao Wang, 2022. "A Survey on the Oscillation of Solutions for Fractional Difference Equations," Mathematics, MDPI, vol. 10(6), pages 1-28, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:6:p:894-:d:768918
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    References listed on IDEAS

    as
    1. Lokenath Debnath, 2003. "Recent applications of fractional calculus to science and engineering," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-30, January.
    2. Lembke B., 1918. "√ a. p," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 111(1), pages 709-712, February.
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    Cited by:

    1. Osama Moaaz & Clemente Cesarano & Barakah Almarri, 2023. "An Improved Relationship between the Solution and Its Corresponding Function in Fourth-Order Neutral Differential Equations and Its Applications," Mathematics, MDPI, vol. 11(7), pages 1-14, April.

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