TY - JOUR AU - Duman, Merve Gu¨ney PY - 2014/06/01 Y2 - 2024/03/29 TI - Positive Integer Solutions of Some Pell Equations JF - MATEMATIKA JA - MATEMATIKA VL - 30 IS - SE - Mathematics DO - 10.11113/matematika.v30.n.667 UR - https://matematika.utm.my/index.php/matematika/article/view/667 SP - 97-108 AB - Let d be a positive integer which is not a perfect square. In this paper, by using continued fraction expansion of √d, we find fundamental solution of some Pell equation. Moreover, we get all positive integer solutions of some Pell equations in terms of generalized Fibonacci and Lucas sequences. Keywords : Pell Equations; Continued Fraction; Generalized Fibonacci and Lucas numbers 2010 Mathematics Subject Classification 11A55; 11B37; 11B39; 11D55; 11D09; 11J70. ER -