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Dynamic analysis of high-order fuzzy difference equation

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Abstract

In the present paper, we discuss the existence, boundedness, and asymptotic behavior of the positive solutions of the fuzzy difference equation

$$\begin{aligned} \omega _{n+1}=\frac{A\omega _{n-1}}{B+C\omega _{n-k}^{p}},\quad n\in \mathbb { N}_{0} \end{aligned}$$

with the parameters A, B, C and the initial conditions \(\omega _{-i}\) \( (i=0,1,...,k)\ \)are positive fuzzy numbers and \(p,k\in \mathbb {{\mathbb {Z}}} ^{+}.\) The theoretical results obtained are also supported and visualized by numerical simulations.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Zonguldak Bülent Ecevit University, 67100, Zonguldak, Turkey

    Mehmet Gümüş

  2. Department of Mathematics and Computer Sciences, Faculty of Science, Necmettin Erbakan University, Konya, 42090, Turkey

    İbrahim Yalçinkaya & Durhasan Turgut Tollu

Authors
  1. Mehmet Gümüş
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  2. İbrahim Yalçinkaya
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  3. Durhasan Turgut Tollu
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All authors contributed equally to the writing of this paper. All authors read and approved the final manuscript.

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Correspondence to Mehmet Gümüş.

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Gümüş, M., Yalçinkaya, İ. & Tollu, D.T. Dynamic analysis of high-order fuzzy difference equation. J. Appl. Math. Comput. 71, 1285–1308 (2025). https://doi.org/10.1007/s12190-024-02280-4

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  • DOI: https://doi.org/10.1007/s12190-024-02280-4

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