Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Editorial Citation - WoS: 1Citation - Scopus: 1Advanced Topics in Dynamics of Complex Systems(Hindawi Ltd, 2014) Ahmad, Bashir; Nieto, Juan J.; Machado, J. A. Tenreiro; Baleanu, Dumitru; Tenreiro Machado, J.A.Editorial Citation - Scopus: 9Advanced Topics in Fractional Dynamics(Hindawi Ltd, 2013) Srivastava, H. M.; Daftardar-Gejji, Varsha; Li, Changpin; Machado, J. A. Tenreiro; Baleanu, Dumitru; Tenreiro Machado, J.A.Editorial Citation - WoS: 2Citation - Scopus: 5Special Issue of Computers and Mathematics With Applications on Fractional Differentiation and Its Applications Preface(Pergamon-elsevier Science Ltd, 2010) Baleanu, Dumitru; Machado, J. A. Tenreiro; Chen, Wen; Tenreiro Machado, J.A.Article Citation - WoS: 17Citation - Scopus: 16On Local Fractional Operators View of Computational Complexity Diffusion and Relaxation Defined on Cantor Sets(Vinca inst Nuclear Sci, 2016) Zhang, Zhi-Zhen; Machado, J. A. Tenreiro; Yang, Xiao-Jun; Baleanu, DumitruThis paper treats the description of non-differentiable dynamics occurring in complex systems governed by local fractional partial differential equations. The exact solutions of diffusion and relaxation equations with Mittag-Leffler and exponential decay defined on Cantor sets are calculated. Comparative results with other versions of the local fractional derivatives are discussed.Article Citation - WoS: 3Citation - Scopus: 4Application of Continuous Wavelet Transform To the Analysis of the Modulus of the Fractional Fourier Transform Bands for Resolving Two Component Mixture(Springer London Ltd, 2015) Duarte, Fernando B.; Machado, J. A. Tenreiro; Baleanu, Dumitru; Dinc, ErdalIn this paper, the fractional Fourier transform (FrFT) is applied to the spectral bands of two component mixture containing oxfendazole and oxyclozanide to provide the multicomponent quantitative prediction of the related substances. With this aim in mind, the modulus of FrFT spectral bands are processed by the continuous Mexican Hat family of wavelets, being denoted by MEXH-CWT-MOFrFT. Four modulus sets are obtained for the parameter of the FrFT going from 0.6 up to 0.9 in order to compare their effects upon the spectral and quantitative resolutions. Four linear regression plots for each substance were obtained by measuring the MEXH-CWT-MOFrFT amplitudes in the application of the MEXH family to the modulus of the FrFT. This new combined powerful tool is validated by analyzing the artificial samples of the related drugs, and it is applied to the quality control of the commercial veterinary samples.