WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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Article Citation - WoS: 63Citation - Scopus: 70New Fractional Signal Smoothing Equations With Short Memory and Variable Order(Elsevier Gmbh, 2020) Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru; Ma, Chang-YouIn this paper, systems of fuzzy fractional differential equations with a lateral type of the Hukuhara derivative and the generalized Hukuhara derivative are numerically studied. Collocation method on discontinuous piecewise polynomial spaces is proposed. Convergence of the proposed method is analyzed. The superconvergent results on the graded mesh are studied. Examples are provided to support theoretical results. Finally, the effect of uncertainty in a diabetes model and its resulting complications is investigated as a practical application.Article Citation - WoS: 22Citation - Scopus: 27A Novel Shuffling Technique Based on Fractional Chaotic Maps(Elsevier Gmbh, 2018) Baleanu, Dumitru; Wu, Guo-Cheng; Bai, Yun-RuAn image encryption technique based on the fractional logistic map is designed in this work. A novel shuffling technique is established by use of fractional chaotic signals. Then it is used to scramble pixel positions. The results are analyzed in comparison with the classical logistic map. Since the employed fractional chaotic map holds complicated dynamics behavior, the encryption result is highly secure. Moreover, by experimental and statistical analysis, we demonstrate that the encryption performance is better than the results in literature. (C) 2018 Published by Elsevier GmbH.