Abstract –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
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...
In this manuscript we introduced the generalized fractional Riemann-Liouville and Caputo like deriva...
Fractional analysis is an important method for mathematics and engineering [1-21], and fractional di...
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...
The thesis deals with applications of fractional calculus to fractals. It introduces the notion of l...
Abstract: In this paper, we establish local fractional Hilbert transform in fractal space, consider ...
Abstract –In the present paper, we point out the local fractional kernel transform based on local fr...
Abstract—The aim of this paper is to study the Local Frac-tional Fourier transforms. We have proved ...
AbstractIn the present paper, local fractional continuous non-differentiable functions in fractal sp...
We develop the notion of local fractional derivative introduced by Kolvankar and Gangal. It allows a...
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...
In recent years, there has been an enormous effort put in the definition and analysis of fractional ...
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...
In this manuscript we introduced the generalized fractional Riemann-Liouville and Caputo like deriva...
Fractional analysis is an important method for mathematics and engineering [1-21], and fractional di...
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...
The thesis deals with applications of fractional calculus to fractals. It introduces the notion of l...
Abstract: In this paper, we establish local fractional Hilbert transform in fractal space, consider ...
Abstract –In the present paper, we point out the local fractional kernel transform based on local fr...
Abstract—The aim of this paper is to study the Local Frac-tional Fourier transforms. We have proved ...
AbstractIn the present paper, local fractional continuous non-differentiable functions in fractal sp...
We develop the notion of local fractional derivative introduced by Kolvankar and Gangal. It allows a...
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...
In recent years, there has been an enormous effort put in the definition and analysis of fractional ...
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...
In this manuscript we introduced the generalized fractional Riemann-Liouville and Caputo like deriva...