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 …

In this article, we construct fluid equations in fractal dimensions based on the concept of the
product-like fractal measure introduced by Li and Ostoja-Starzewski in their formulation of …

Purpose The purpose of this study is to originally present noise analysis of electrical circuits
defined on fractal set. Design/methodology/approach The fractal integrodifferential …

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 …

The use of fractional derivatives and integrals has been steadily increasing thanks to their
ability to capture effects and describe several natural phenomena in a better and systematic …

In this study, we have used the concept of product-like fractal measure to analyze the fractal
heat transfer in anisotropic media. This concept was introduced by Li and Ostoja-Starzewski …

This work presents the analysis of the fractional time constant and the transitory response
(delay, rise, and settling times) of a RC circuit as a physical interpretation of fractional …

Casimir effect predicts that two parallel flat neutral plates are attracted to each other due to
quantum fluctuations of the electromagnetic field. In this communication, we study Casimir …

In this study, the concept of the product-like fractal measure introduced by Li and Ostoja-
Starzewski in their formulation of fractal continuum media is combined with the concept 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 …