In this paper, fractal calculus, which is called F α -calculus, is reviewed. Fractal calculus is implemented on fractal interpolation functions and Weierstrass functions, which may be non differentiable and non-integrable in the sense of ordinary calculus. Graphical representations of fractal calculus of fractal interpolation functions and Weierstrass functions are presented.info:eu-repo/semantics/publishedVersio
An iterated function system that defines a fractal interpolation function, where ordinate scaling is...
This paper introduces new approach to approximation of continuous vector-functions and vector sequen...
© 2015 Konstantin Igudesman et al. This paper introduces new approach to approximation of continuous...
In this paper, fractal calculus, which is called Fα-calculus, is reviewed. Fractal calculus is imple...
AbstractThe calculus of deterministic fractal functions is introduced. Fractal interpolation functio...
There has been a considerable evolution of the theory of fractal interpolation function (FIF) over t...
A fractal interpolation function on a p-series local field Kp is defined, and its p-type smoothness ...
A continuous function defined on a closed interval can be of unbounded variation with certain fracta...
A continuous function defined on a closed interval can be of unbounded variation with certain fracta...
AbstractThe calculus of deterministic fractal functions is introduced. Fractal interpolation functio...
In this study, the variable order fractional calculus of the hidden variable fractal interpolation f...
The thesis deals with applications of fractional calculus to fractals. It introduces the notion of l...
The fractal interpolation functions defined by iterated function systems provide new methods of appr...
An iterated function system that defines a fractal interpolation function, where ordinate scaling is...
AbstractBased on the construction of Fractal Interpolation Functions, a new construction of Fractal ...
An iterated function system that defines a fractal interpolation function, where ordinate scaling is...
This paper introduces new approach to approximation of continuous vector-functions and vector sequen...
© 2015 Konstantin Igudesman et al. This paper introduces new approach to approximation of continuous...
In this paper, fractal calculus, which is called Fα-calculus, is reviewed. Fractal calculus is imple...
AbstractThe calculus of deterministic fractal functions is introduced. Fractal interpolation functio...
There has been a considerable evolution of the theory of fractal interpolation function (FIF) over t...
A fractal interpolation function on a p-series local field Kp is defined, and its p-type smoothness ...
A continuous function defined on a closed interval can be of unbounded variation with certain fracta...
A continuous function defined on a closed interval can be of unbounded variation with certain fracta...
AbstractThe calculus of deterministic fractal functions is introduced. Fractal interpolation functio...
In this study, the variable order fractional calculus of the hidden variable fractal interpolation f...
The thesis deals with applications of fractional calculus to fractals. It introduces the notion of l...
The fractal interpolation functions defined by iterated function systems provide new methods of appr...
An iterated function system that defines a fractal interpolation function, where ordinate scaling is...
AbstractBased on the construction of Fractal Interpolation Functions, a new construction of Fractal ...
An iterated function system that defines a fractal interpolation function, where ordinate scaling is...
This paper introduces new approach to approximation of continuous vector-functions and vector sequen...
© 2015 Konstantin Igudesman et al. This paper introduces new approach to approximation of continuous...