This monograph is an invitation both to the interested scientists and the engineers. It
presents a thorough introduction to the recent results of local fractional calculus. It is also …

Spontaneous imbibition of wetting liquid into porous media is regarded as a crucially
important driving mechanism for enhancing oil recovery from naturally fractured reservoir …

This paper is devoted to the development of local vector calculus in fractional-dimensional
spaces, on fractals, and in fractal continua. We conjecture that in the space of non-integer …

This paper is devoted to fractal continuum hydrodynamics and its application to model fluid
flows in fractally permeable reservoirs. Hydrodynamics of fractal continuum flow is …

In this study, a quantum mechanical system characterized by the product-like fractal
geometry constructed by Li and Ostoja-Starzewski in order to explore physical properties of …

This paper is devoted to the mechanics of fractally heterogeneous media. A model of fractal
continuum with a fractional number of spatial degrees of freedom and a fractal metric is …

In this study, the fractal neutrons diffusion equation is constructed based on the concept of
fractal anisotropy and product-like fractal measure introduced by Li and Ostoja-Starzewski …

In this study, we analyze periodic crystal lattices characterized by spatial Hausdorff
dimensions. We demonstrate the emergence of quasiperiodic wave functions for a very …

The bending of self-similar beams applying the Euler–Bernoulli principle is studied in this
paper. A generalization of the standard Euler–Bernoulli beam equation in the F d H 3 …

This paper presents an overview of modeling fractal media by continuum mechanics using
the method of dimensional regularization. The basis of this method is to express the balance …