Dynamic analysis of high-order fuzzy difference equation
Mehmet Gumus, Ibrahim Yalcinkaya, Durhasan Turgut Tollu
article (Uluslararası, Hakemli) | Yazar(lar): Mehmet Gumus, Ibrahim Yalcinkaya, Durhasan Turgut Tollu | Yıl: 2025 | Dergi/Kurum: JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | İndeks: WOS.SCI | DOI: 10.1007/s12190-024-02280-4 | Anahtar Kelimeler: Boundedness, Convergence, Fuzzy number, Fuzzy difference equations, alpha
In the present paper, we discuss the existence, boundedness, and asymptotic behavior of the positive solutions of the fuzzy difference equation omega(n+1 )= A omega(n-1)/B + C omega(p)(n-k), n is an element of N-0 with the parameters A, B, C and the initial conditions omega(-i) (i = 0, 1, ..., k) are positive fuzzy numbers and p, k is an element of Z(+). The theoretical results obtained are also supported and visualized by numerical simulations.