Affiliations: [a] Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan
| [b] Department of Mathematics, University of Poonch Rawalakot, Rawalakot, Pakistan
| [c] Department of Basic Sciences and Humanities, College of Electrical and Mechanical Engineering, National University of Sciences and Technology (NUST), Pakistan
| [d] Department of Applied Mathematics, School of Natural and Applied Sciences, Northwestern Polytechnical University Xi’an, Shaanxi, PR China
Correspondence:
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Corresponding author. Ghaus ur Rahman, Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan. Tel.: +92 3469140474; E-mail: [email protected].
Abstract: In this paper, we study the qualitative behavior of the positive solutions of a second-order rational fuzzy difference equations with initial conditions and parameters are positive fuzzy numbers. More precisely, we investigate existence of positive solutions, boundedness, persistence and stability analysis of a second-order fuzzy rational difference equation. Some numerical examples are given to verify our theoretical results.
Keywords: Fuzzy difference equations, existence of solutions, boundedness character, local and global behavior
