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[PDF][PDF] Advanced local fractional calculus and its applications
XJ Yang - 2012 - researchgate.net
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 …
presents a thorough introduction to the recent results of local fractional calculus. It is also …
Modeling of combustion and turbulent jet diffusion flames in fractal dimensions
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 …
engineering applications of combustion theory. The basic properties of jet diffusion flames …
[HTML][HTML] Sub-and super-diffusion on Cantor sets: Beyond the paradox
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 …
totally disconnected fractal embedded in the Euclidean space. Accordingly, in order to …
Fractal calculus approach to diffusion on fractal combs
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 …
We introduce the concept of a fractal comb and its associated staircase function. To handle …
Fractal dimension modeling of seismology and earthquakes dynamics
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 …
concept of product-like fractal measure introduced recently by Li and Ostoja-Starzewski in …
Modal properties of fractal sympodial trees: insights and analytical solutions using a group tree modeling approach
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 …
trees and their dynamic properties, namely modal frequencies and mode shapes. It focuses …
[PDF][PDF] Local fractional Laplace decomposition method for nonhomogeneous heat equations arising in fractal heat flow with local fractional derivative
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 …
nonhomogeneous heat equations arising in the fractal heat flow within local fractional …
Pores integrated fractal (PIF) analysis on transportation in porous media considering spatial distribution of pores and genuine tortuosity
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 …
porous media in consideration of the spatial distribution of pores and the genuine tortuosity …
Ubiquitiform in applied mechanics
ZC Ou, GY Li, ZP Duan, FL Huang - Journal of Theoretical and …, 2014 - yadda.icm.edu.pl
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 …
an ideal mathematical object, rather a ubiquitiform (a terminology coined here for a finite …
Finite-dimensional diffusion models of heat transfer in fractal mediums involving local fractional derivatives.
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 …
heat transfer. The originality of this contribution is being to extend previous recent works to n …