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

Now showing items 1-14 of 14

A new fractional derivative involving the normalized sinc function without singular kernel

Yang, Xiao-Jun; Gao, Feng; Machado, J. A. Tenreiro; Baleanu, Dumitru (Springer Heidelberg, 2017-12)

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. ...
A New Glance On the Leibniz Rule for Fractional Derivatives

Sayevand, K.; Machado, J. A. Tenreiro; Baleanu, Dumitru (Elsevier Science BV, 2018-09)

This paper proposes a new strategy to study some useful properties of growth rates of functions in C-alpha is an element of R spaces in order to analyze the Leibniz rule for fractional derivatives. The differential operators ...
Advanced Topics in Fractional Dynamics

Baleanu, Dumitru; Srivastava, H. M.; Daftardar-Gejji, Varsha; Li, Changpin; Machado, J. A. Tenreiro (Hindawi LTD, 2013)
Analysis of UV spectral bands using multidimensional scaling

Machado, J. A. Tenreiro; Dinç, Erdal; Baleanu, Dumitru (Springer London LTD, 2015-03)

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 ...
Application of continuous wavelet transform to the analysis of the modulus of the fractional Fourier transform bands for resolving two component mixture

Dinç, Erdal; Duarte, Fernando B.; Machado, J. A. Tenreiro; Baleanu, Dumitru (Springer London LTD, 2015-05)

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 ...
Fractional calculus: A survey of useful formulas

Valerio, D.; Trujillo, J. J.; Rivero, M.; Machado, J. A. Tenreiro; Baleanu, Dumitru (Springer Heidelberg, 2013-09)
Fractional differentiation and its applications (FDA08) PREFACE

Baleanu, Dumitru; Machado, J. A. Tenreiro (IOP Publishing LTD, 2009-10)
New trends in fractional dynamics

Machado, J. A. Tenreiro; Baleanu, Dumitru; Chen, Wen; Sabatier, Jocelyn (Sage Publications LTD, 2014-05)
Numerical solutions for odes with local fractional derivative

Yang, X. J.; Baleanu, Dumitru; Machado, J. A. Tenreiro (De Gruyter Open LTD, 2015)

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 ...
On analytical methods for differential equations with local fractional derivative operators

Yang, Xiao-Jun; Baleanu, Dumitru; Machado, J. A. Tenreiro (2014-01-01)

This chapter reviews new analytical methods for a family of differential equations with local fractional derivatives. We concentrate mainly on Fourier series, and Fourier and Laplace transforms with local fractional ...
On Local Fractional Operators View of Computational Complexity Diffusion and Relaxation Defined on Cantor Sets

Yang, Xiao-Jun; Zhang, Zhi-Zhen; Machado, J. A. Tenreiro; Baleanu, Dumitru (Vinca Inst, 2016)

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 ...
On Nonautonomous Complex Wave Solutions Described By The Coupled Schrodinger-Boussinesq Equation With Variable-Coefficients

Osman, M. S.; Machado, J. A. Tenreiro; Baleanu, Dumitru (Springer, 2018-02)

This paper investigates the coupled Schrodinger-Boussinesq equation with variable-coefficients using the unified method. New nonautonomous complex wave solutions are obtained and classified into two categories, namely ...
On the analysis of data emerging in non-linear and complex systems comparison of two x-ray prony spectra

Nigmatullin, Raoul R.; Khramov, A. S.; Kiyamov, A. G.; Fatkhullin, B. F.; Machado, J. A. Tenreiro; Baleanu, Dumitru (Chiminform Data SA, 2015-12)

New arguments proving that successive (repeated) measurements have a memory and actually remember each other are presented. The recognition of this peculiarity can change essentially the existing paradigm associated with ...
Special Issue of Computers and Mathematics With Applications On Fractional Differentiation and Its Applications Preface

Chen, Wen; Baleanu, Dumitru; Machado, J. A. Tenreiro (Pergamon-Elsevier Science LTD, 2010-03)

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