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A fractional-order impulsive delay model of price fluctuations in commodity markets: almost periodic solutions

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Abstract

In this paper an impulsive time-varying model for the dynamics of price adjustment in a single commodity market using the Caputo fractional-order derivative is developed. Applying the fractional Lyapunov method and Mittag-Leffler functions, we give sufficient conditions for the existence of an almost periodic solution. The uniform asymptotic stability and Mittag-Leffler stability are also considered.

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Authors and Affiliations

  1. Department of Mathematics, University of Santiago de Compostela, 15782, Santiago de Compostela, Spain

    Juan J. Nieto

  2. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    Juan J. Nieto

  3. Technical University, Department of Mathematics and Physics, Sliven, 8800, Bulgaria

    Gani Stamov

  4. University of Texas at San Antonio, Department of Mathematics, San Antonio, TX, 78249, USA

    Ivanka Stamova

Authors
  1. Juan J. Nieto
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  2. Gani Stamov
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  3. Ivanka Stamova
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Correspondence to Gani Stamov.

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Nieto, J.J., Stamov, G. & Stamova, I. A fractional-order impulsive delay model of price fluctuations in commodity markets: almost periodic solutions. Eur. Phys. J. Spec. Top. 226, 3811–3825 (2017). https://doi.org/10.1140/epjst/e2018-00033-9

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  • DOI: https://doi.org/10.1140/epjst/e2018-00033-9

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