We propose diffusionlike equations with time and space fractional derivatives of the
distributed order for the kinetic description of anomalous diffusion and relaxation …

Our study of fractal landscapes departs from the simplest but yet effective model of fractional
Brownian motion and explores its two-dimensional (2-D) extensions. We focus on the ability …

The properties of Alfvénic solar wind turbulence have been studied for decades using
spacecraft measurements. In particular, the observation of spectral anisotropy of magnetic …

This paper aims to explore the scope of applying the concept of fractal geometry in the field
of architecture and construction. There are mainly two different types of fractals–self-similar …

The radiative properties of most structures are intimately connected to the way in which their
constituents are ordered on the nanoscale. We have proposed a new representation for …

This paper generalizes the classical spline using a new construction of spline coalescence
hidden variable fractal interpolation function (CHFIF). The derivative of a spline CHFIF is a …

In this paper, we consider some experimental and analytical expositions of the time
dependency of Hurst exponent. It is our motivation to introduce a new kind of fBm with a two …

The purpose of this study is to apply the notion of fractal geometry in designing structural
roof trusses. Fractal geometry, commonly characterized by the features of recursive self …

arXiv:math/0703087v1 [math.PR] 3 Mar 2007 Page 1 arXiv:math/0703087v1 [math.PR] 3 Mar
2007 Multidimensional bifractional Brownian motion: Itô and Tanaka formulas Khalifa …

The article reports on the construction of a general class of fractal radial basis functions
(RBFs) in the literature. The fractal RBFs is defined through fractal perturbation of a RBF …