Huang, Lan-LanBaleanu, DumitruBaleanu, DumitruWu, Guo-ChengZeng, Sheng-DaMatematik02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2025-09-232025-09-232016Huang, Lan-Lan...et al. (2016). "A New Application of the Fractional Logistic Map", Romanian Journal of Physics, Vol. 61, No. 7-8, pp. 1172-1179.1221-146Xhttps://hdl.handle.net/20.500.12416/15552Huang, Lan-Lan/0000-0002-6375-9183; Wu, Guo-Cheng/0000-0002-1946-6770; Zeng, Shengda/0000-0003-1818-842XThe fractional chaotic map started to be applied in physics and engineering to properly treat some real-world phenomena. A shuffling method is proposed based on the fractional logistic map. The fractional difference order is used as a key. An image encryption scheme is designed by using the XOR operation and the security analysis is given. The obtained results demonstrate that the fractional difference order makes the encryption scheme highly secure.eninfo:eu-repo/semantics/closedAccessDiscrete Fractional CalculusChaosFractional Logistic MapImage EncryptionArticle2-s2.0-84990938386