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On a higher order fuzzy difference equation with a quadratic term

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Abstract

A qualitative analysis of a second-order fuzzy difference equation featuring a quadratic term was recently explored in this journal. The study presented was limited to a second-order equation. Here, we generalize the study to a higher-order fuzzy difference equation with a quadratic component. Furthermore, we establish adequate conditions on the qualitative dynamics involving boundedness, persistence, and the convergence of positive fuzzy solutions to the equation. In addition, we provide two simulation instances to validate our theoretical examination.

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Funding

The work was supported by DGRSDT-MESRS (DZ), by the Slovak Research and Development Agency under the Contract no. APVV-23-0039, and by the Slovak Grant Agency VEGA No. 1/0084/23, No. 2/0062/24.

Author information

Authors and Affiliations

  1. Department of Mathematics, Abdelhafid Boussouf University Center, R.P 26, 43000, Mila, Algeria

    Ibtissem Redjam & Yacine Halim

  2. Laboratory of Mathematics and Their Interactions, Abdelhafid Boussouf University Center, RP 26, 43000, Mila, Algeria

    Ibtissem Redjam

  3. LMAM Laboratory, Mohamed Seddik ben Yahia University, BP 78 Oueld Aissa, 18000, Jijel, Algeria

    Yacine Halim

  4. Department of Mathematical Analysis and Numerical Mathematics, Comenius University in Bratislava, 842 48, Bratislava, Slovakia

    Michal Fečkan

  5. Mathematical Institute, Slovak Academy of Sciences, 814 73, Bratislava, Slovakia

    Michal Fečkan

Authors
  1. Ibtissem Redjam
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  2. Yacine Halim
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  3. Michal Fečkan
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All authors participated in writing and reviewing the results

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Correspondence to Yacine Halim.

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Redjam, I., Halim, Y. & Fečkan, M. On a higher order fuzzy difference equation with a quadratic term. J. Appl. Math. Comput. 71, 429–452 (2025). https://doi.org/10.1007/s12190-024-02243-9

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  • DOI: https://doi.org/10.1007/s12190-024-02243-9

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