Encontrados 15 documentos, a visualizar página 1 de 2
Local fractional variational iteration and decomposition methods for wave equat...
Baleanu, Dumitru; Machado, J. A. Tenreiro; Cattani, Carlo; Baleanu, Mihaela Cristina; Yang, Xiao-JunWe perform a comparison between the fractional iteration and decomposition methods applied to the wave equation on Cantor set. The operators are taken in the local sense. The results illustrate the significant features of the two methods which are both very effective and straightforward for solving the differential equations with local fractional derivative.
On local fractional continuous wavelet transform
Yang, Xiao-Jun; Baleanu, Dumitru; Srivastava, Hari; Machado, J. A. TenreiroWe introduce a new wavelet transform within the framework of the local fractional calculus. An illustrative example of local fractional wavelet transform is also presented.
Systems of navier-stokes equations on cantor sets
Yang, Xiao-Jun; Baleanu, Dumitru; Machado, J. A. TenreiroWe present systems of Navier-Stokes equations on Cantor sets, which are described by the local fractional vector calculus. It is shown that the results for Navier-Stokes equations in a fractal bounded domain are efficient and accurate for describing fluid flow in fractal media.
Multidimensional scaling for orthodontic root resorption
Preoteasa, Cristina Teodora; Ionescu, Ecaterina; Preoteasa, Elena; Machado, J. A. Tenreiro; Baleanu, Mihaela Cristina; Baleanu, DumitruThe paper investigates the risk factors for the severity of orthodontic root resorption. The multidimensional scaling (MDS) visualization method is used to investigate the experimental data from patients who received orthodontic treatment at the Department of Orthodontics and Dentofacial Orthopedics, Faculty of Dentistry, “Carol Davila” University of Medicine and Pharmacy, during a period of 4 years. The cluste...
Mathematical aspects of the Heisenberg uncertainty principle within local fract...
Yang, Xiao-Jun; Baleanu, Dumitru; Machado, J. A. TenreiroIn this paper, we discuss the mathematical aspects of the Heisenberg uncertainty principle within local fractional Fourier analysis. The Schrödinger equation and Heisenberg uncertainty principles are structured within local fractional operators.
On a generalized laguerre operational matrix of fractional integration
Bhrawy, A. H.; Baleanu, Dumitru; Assas, L. M.; Machado, J. A. TenreiroA new operationalmatrix of fractional integration of arbitrary order for generalized Laguerre polynomials is derived.The fractional integration is described in the Riemann-Liouville sense.This operational matrix is applied together with generalized Laguerre tau method for solving general linearmultitermfractional differential equations (FDEs).Themethod has the advantage of obtaining the solution in terms of the...
Fractional calculus: a survey of useful formulas
Valério, D.; Trujillo, Juan J.; Rivero, Margarita; Machado, J. A. Tenreiro; Baleanu, DumitruThis paper presents a survey of useful, established formulas in Fractional Calculus, systematically collected for reference purposes.
Analysis of UV spectral bands using multidimensional scaling
Machado, J. A. Tenreiro; Dinç, Erdal; Baleanu, DumitruThis study describes the change of the ultraviolet spectral bands starting from 0.1 to 5.0 nm slit width in the spectral range of 200–400 nm. The analysis of the spectral bands is carried out by using the multidimensional scaling (MDS) approach to reach the latent spectral background. This approach indicates that 0.1 nm slit width gives higher-order noise together with better spectral details. Thus, 5.0 nm slit...
Fractional order modeling of zero length column desorption response for adsorbe...
Machado, J. A. Tenreiro; Zaman, Sharif F.; Baleanu, DumitruThis manuscript analyses the data generated by a Zero Length Column (ZLC) diffusion experimental set-up, for 1,3 Di-isopropyl benzene in a 100% alumina matrix with variable particle size. The time evolution of the phenomena resembles those of fractional order systems, namely those with a fast initial transient followed by long and slow tails. The experimental measurements are best fitted with the Harris model r...
Application of continuous wavelet transform to the analysis of the modulus of t...
Dinç, Erdal; Duarte, Fernando B.; Machado, J. A. Tenreiro; Baleanu, DumitruIn 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 ob...
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