Browsing by Author "Machado, J. A. Tenreiro"

Now showing 1 - 12 of 12

Citation - WoS: 1
Citation - Scopus: 1
Advanced Topics in Dynamics of Complex Systems
(Hindawi Ltd, 2014) Ahmad, Bashir; Nieto, Juan J.; Machado, J. A. Tenreiro; Baleanu, Dumitru; Tenreiro Machado, J.A.
Citation - Scopus: 9
Advanced 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.
Citation - WoS: 4
Citation - Scopus: 6
Analysis of Uv Spectral Bands Using Multidimensional Scaling
(Springer London Ltd, 2015) Dinc, Erdal; Baleanu, Dumitru; Tenreiro Machado, J. A.; Machado, J. A. Tenreiro
This 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 width possesses the higher peak amplitude and lower-order noise together with poor spectral details. In the above-mentioned conditions, the main problem is to find the relationship between the spectral band properties and the slit width. For this aim, the MDS tool is to used recognize the hidden information of the ultraviolet spectra of sildenafil citrate by using a Shimadzu UV-VIS 2550, which is in the world the best double monochromator instrument. In this study, the proposed mathematical approach gives the rich findings for the efficient use of the spectrophotometer in the qualitative and quantitative studies.
Citation - WoS: 73
Citation - Scopus: 98
Anomalous Diffusion Models With General Fractional Derivatives Within the Kernels of the Extended Mittag-Leffler Type Functions
(Editura Acad Romane, 2017) Yang, Xiao-Jun; Baleanu, Dumitru; Tenreiro Machado, J. A.; Baleanu, Dumitru; Machado, J. A. Tenreiro; Matematik
This paper addresses the new general fractional derivatives (GFDs) involving the kernels of the extended Mittag-Leffler type functions (MLFs). With the aid of the GFDs in the MLF kernels, the mathematical models for the anomalous diffusion of fractional order are analyzed and discussed. The proposed formulations are also used to describe complex phenomena that occur in heat transfer.
Citation - WoS: 3
Citation - Scopus: 4
Application 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, Erdal
In 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.
Citation - WoS: 9
Citation - Scopus: 14
Characterization Approach To Modified Glassy Carbon Electrode-Nanofilm System Within Multidimensional Scaling
(Amer Scientific Publishers, 2011) Baleanu, Dumitru; Dinc, Erdal; Solak, All Osman; Eksi, Haslet; Guzel, Remziye; Tenreiro Machado, J. A.; Machado, J. A. Tenreiro
The aim of this work is to characterize the nanofilm consisting of the benzoic acid-modified glassy carbon (GC) electrode system through multidimensional scaling space analysis. The surface modification is based on the electrochemical reaction between the GC electrode and benzoic acid-diazonium salt (BA-DAS). As a result, the nonofilms regarding the benzoic acid-glassy carbon (BA-GC) electrode surface was obtained. For the analysis of the naonfilm of BC-GC electrode system, the IR spectra of the modified BA-GC electrode surface, GC surface and BA-DAS were recorded in the spectral range of 599.84 - 3996.34 [cm(-1)]. The IR data vectors of the above three forms were processed by the using the multidimensional scaling space approach to demonstrate the existence of a nanofilm on the modified BA-GC electrode system. Two- and three-dimensional MDS profiles obtained by application of multidimensional scaling approach to the data sets {CG1, ... ,CG10}, {BA-GC1, ... ,BA-GC10} and {FILM1, ... ,FILM10} allow a good recognition of the nanofilm on the modified glassy carbon (GC) electrode system.
Citation - WoS: 29
Exact Travelling Wave Solutions for Local Fractional Partial Differential Equations in Mathematical Physics
(Springer international Publishing Ag, 2019) Yang, Xiao-Jun; Gao, Feng; Machado, J. A. Tenreiro; Baleanu, Dumitru
Fractional differentiation and its applications (FDA08) PREFACE
(IOP Publishing LTD, 2009) Baleanu, Dumitru; Machado, J. A. Tenreiro
Citation - WoS: 98
A New Fractional Derivative Involving the Normalized Sinc Function Without Singular Kernel
(Springer Heidelberg, 2017) Yang, Xiao-Jun; Gao, Feng; Machado, J. A. Tenreiro; Baleanu, Dumitru
In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion problems. The comparative results between classical and fractional-order operators are presented. The results are significant in the analysis of one-dimensional anomalous heat-transfer problems.
Numerical Solutions for Odes With Local Fractional Derivative
(de Gruyter Open Ltd, 2015) Baleanu, Dumitru; Tenreiro Machado, J. A.; Yang, Xiao-Jun; Machado, J. A. Tenreiro
In this chapter an efficient numerical algorithm for solving ODEs using the extended differential transform method via the generalized local fractional Taylor theorem is presented. Four examples are studied in order to illustrate the proposed technique.
Citation - WoS: 17
Citation - Scopus: 16
On 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, Dumitru
This 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.
Citation - WoS: 2
Citation - Scopus: 5
Special 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.