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Articles 31 - 41 of 41
Full-Text Articles in Physical Sciences and Mathematics
Local Fractional Calculus And Its Applications, Yang Xiaojun
Local Fractional Calculus And Its Applications, Yang Xiaojun
Xiao-Jun Yang
In this paper we point out the interpretations of local fractional derivative and local fractional integration from the fractal geometry point of view. From Cantor set to fractional set, local fractional derivative and local fractional integration are investigated in detail, and some applications are given to elaborate the local fractional Fourier series, the Yang-Fourier transform, the Yang-Laplace transform, the local fractional short time transform, the local fractional wavelet transform in fractal space.
Fast Yang-Fourier Transforms In Fractal Space, Yang Xiaojun
Fast Yang-Fourier Transforms In Fractal Space, Yang Xiaojun
Xiao-Jun Yang
The Yang-Fourier transform (YFT) in fractal space is a generation of Fourier transform based on the local fractional calculus. The discrete Yang-Fourier transform (DYFT) is a specific kind of the approximation of discrete transform based on the Yang-Fourier transform in fractal space. In the present letter we point out a new fractal model for the algorithm for fast Yang-Fourier transforms of discrete Yang-Fourier transforms. It is shown that the classical fast Fourier transforms is a special example in fractal dimension a=1.
Local Fractional Fourier Analysis, Yang Xiaojun
Local Fractional Fourier Analysis, Yang Xiaojun
Xiao-Jun Yang
Local fractional calculus (LFC) deals with everywhere continuous but nowhere differentiable functions in fractal space. In this letter we point out local fractional Fourier analysis in generalized Hilbert space. We first investigate the local fractional calculus and complex number of fractional-order based on the complex Mittag-Leffler function in fractal space. Then we study the local fractional Fourier analysis from the theory of local fractional functional analysis point of view. We finally propose the fractional-order trigonometric and complex Mittag-Leffler functions expressions of local fractional Fourier series
A Generalized Model For Yang-Fourier Transforms In Fractal Space, Yang Xiao-Jun
A Generalized Model For Yang-Fourier Transforms In Fractal Space, Yang Xiao-Jun
Xiao-Jun Yang
Local fractional calculus deals with everywhere continuous but nowhere differentiable functions in fractal space. The Yang-Fourier transform based on the local fractional calculus is a generalization of Fourier transform in fractal space. In this paper, local fractional continuous non-differentiable functions in fractal space are studied, and the generalized model for the Yang-Fourier transforms derived from the local fractional calculus are introduced. A generalized model for the Yang-Fourier transforms in fractal space and some results are proposed in detail.
Generalized Local Taylor's Formula With Local Fractional Derivative, Yang Xiao-Jun
Generalized Local Taylor's Formula With Local Fractional Derivative, Yang Xiao-Jun
Xiao-Jun Yang
In the present paper, a generalized local Taylor formula with the local fractional derivatives (LFDs) is proposed based on the local fractional calculus (LFC). From the fractal geometry point of view, the theory of local fractional integrals and derivatives has been dealt with fractal and continuously non-differentiable functions, and has been successfully applied in engineering problems. It points out the proof of the generalized local fractional Taylor formula, and is devoted to the applications of the generalized local fractional Taylor formula to the generalized local fractional series and the approximation of functions. Finally, it is shown that local fractional Taylor …
Ogólnotechniczne Podstawy Biotechnologii Z Elementami Grafiki Inżynierskiej Ćw., Wojciech M. Budzianowski
Ogólnotechniczne Podstawy Biotechnologii Z Elementami Grafiki Inżynierskiej Ćw., Wojciech M. Budzianowski
Wojciech Budzianowski
No abstract provided.
Materiały Odstresowujące, Wojciech M. Budzianowski
Materiały Odstresowujące, Wojciech M. Budzianowski
Wojciech Budzianowski
No abstract provided.
Anisotropic Diffusivity Of The Prismatic Surface Of Ice Is Model Independent, Natalie D. Bowens
Anisotropic Diffusivity Of The Prismatic Surface Of Ice Is Model Independent, Natalie D. Bowens
Summer Research
In simulations reported by Gladich et al., the surface diffusion on the prismatic surface of ice was found to be anisotropic at low temperatures and isotropic at high temperatures in the NE6 model. Our research investigated whether this effect is a true property of ice, or an artifact of NE6 model, by using the TIP4P/2005 and the TIP5P-EW representations. It was found that anisotropy of surface diffusion on the Prismatic facet at low temperatures is model independent. An Arrhenius analysis was also preformed to find the activation energies of diffusion in both models.
Set Ideal Topological Spaces, Florentin Smarandache, W.B. Vasantha Kandasamy
Set Ideal Topological Spaces, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications
In this book the authors for the first time introduce a new type of topological spaces called the set ideal topological spaces using rings or semigroups, or used in the mutually exclusive sense. This type of topological spaces use the class of set ideals of a ring (semigroups). The rings or semigroups can be finite or infinite order. By this method we get complex modulo finite integer set ideal topological spaces using finite complex modulo integer rings or finite complex modulo integer semigroups. Also authors construct neutrosophic set ideal toplogical spaces of both finite and infinite order as well as …
Fuzzy Linguistic Topological Spaces, Florentin Smarandache, W.B. Vasantha Kandasamy, K. Amal
Fuzzy Linguistic Topological Spaces, Florentin Smarandache, W.B. Vasantha Kandasamy, K. Amal
Branch Mathematics and Statistics Faculty and Staff Publications
No abstract provided.
Hydrogen Production From Biogas By Oxy-Reforming: Reaction System Analysis, Aleksandra Terlecka, Wojciech M. Budzianowski
Hydrogen Production From Biogas By Oxy-Reforming: Reaction System Analysis, Aleksandra Terlecka, Wojciech M. Budzianowski
Wojciech Budzianowski
Oxy-reforming is emerging as an interesting alternative to conventional methods of hydrogen generation. The current article characterises this process through analysis of individual reactions: SMR (steam methane reforming), WGS (water gas shift) and CPO (catalytic partial oxidation). Analyses relate to optimisation of thermal conditions thus enabling cost-effectivenes of the process.