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 …

Turbulent diffusion flames are considered an active field of research used in many
engineering applications of combustion theory. The basic properties of jet diffusion flames …

There is no way to build a nontrivial Markov process having continuous trajectories on a
totally disconnected fractal embedded in the Euclidean space. Accordingly, in order to …

In this paper, we present a generalization of diffusion on fractal combs using fractal calculus.
We introduce the concept of a fractal comb and its associated staircase function. To handle …

In this study, we constructed the seismic wave equation in fractal dimensions based on the
concept of product-like fractal measure introduced recently by Li and Ostoja-Starzewski in …

This study examines the intricate relationship between the hierarchical architecture of fractal
trees and their dynamic properties, namely modal frequencies and mode shapes. It focuses …

In this paper, the local fractional Laplace decomposition method is used for solving the
nonhomogeneous heat equations arising in the fractal heat flow within local fractional …

A pores integrated fractal model is established to represent the microscopic structures of
porous media in consideration of the spatial distribution of pores and the genuine tortuosity …

We demonstrate that a physical object in nature should not be described as a fractal, despite
an ideal mathematical object, rather a ubiquitiform (a terminology coined here for a finite …

We investigate non-differentiable analytical solutions of diffusion equations arising in fractal
heat transfer. The originality of this contribution is being to extend previous recent works to n …