Add to ORKGFractional analysis is an important method for mathematics and engineering [1-21], and fractional differentiation inequalities are great mathematical topic for research [22-24]. In the present paper we point out a new viewpoint to Fourier analysis in fractal space based on the local fractional calculus [25-58], and propose the local fractional Fourier analysis. Based on the generalized Hilbert space [48, 49], we obtain the generalization of local fractional Fourier series via the local fractional calculus. An example is given to elucidate the signal process and reliable result
Many specialists working in the field of the fractional calculus and its applications simply replace...
The fractal heat flow within local fractional derivative is investigated. The nonhomogeneous heat eq...
The fractal heat flow within local fractional derivative is investigated. The nonhomogeneous heat eq...
Abstract –Local fractional calculus (LFC) deals with everywhere continuous but nowhere differentiabl...
Local fractional functional analysis is a totally new area of mathematics, and a totally new mathema...
Abstract –Local fractional calculus deals with everywhere continuous but nowhere differentiable func...
Abstract: In this paper, we establish local fractional Hilbert transform in fractal space, consider ...
AbstractIn the present paper, local fractional continuous non-differentiable functions in fractal sp...
In recent years, there has been an enormous effort put in the definition and analysis of fractional ...
In recent years, there has been an enormous effort put in the definition and analysis of fractional ...
In this manuscript a fractal modeling for wavelet analysis is investigated by using the local fracti...
Abstract –In the present paper, we point out the local fractional kernel transform based on local fr...
The thesis deals with applications of fractional calculus to fractals. It introduces the notion of l...
Abstract—The aim of this paper is to study the Local Frac-tional Fourier transforms. We have proved ...
From the signal processing point of view, the nondifferentiable data defined on the Cantor sets are ...
Many specialists working in the field of the fractional calculus and its applications simply replace...
The fractal heat flow within local fractional derivative is investigated. The nonhomogeneous heat eq...
The fractal heat flow within local fractional derivative is investigated. The nonhomogeneous heat eq...
Abstract –Local fractional calculus (LFC) deals with everywhere continuous but nowhere differentiabl...
Local fractional functional analysis is a totally new area of mathematics, and a totally new mathema...
Abstract –Local fractional calculus deals with everywhere continuous but nowhere differentiable func...
Abstract: In this paper, we establish local fractional Hilbert transform in fractal space, consider ...
AbstractIn the present paper, local fractional continuous non-differentiable functions in fractal sp...
In recent years, there has been an enormous effort put in the definition and analysis of fractional ...
In recent years, there has been an enormous effort put in the definition and analysis of fractional ...
In this manuscript a fractal modeling for wavelet analysis is investigated by using the local fracti...
Abstract –In the present paper, we point out the local fractional kernel transform based on local fr...
The thesis deals with applications of fractional calculus to fractals. It introduces the notion of l...
Abstract—The aim of this paper is to study the Local Frac-tional Fourier transforms. We have proved ...
From the signal processing point of view, the nondifferentiable data defined on the Cantor sets are ...
Many specialists working in the field of the fractional calculus and its applications simply replace...
The fractal heat flow within local fractional derivative is investigated. The nonhomogeneous heat eq...
The fractal heat flow within local fractional derivative is investigated. The nonhomogeneous heat eq...