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Fractal Calculus on Fractal Interpolation Functions [PDF]

open access: yesFractal and Fractional, 2021
In this paper, fractal calculus, which is called Fα-calculus, is reviewed. Fractal calculus is implemented on fractal interpolation functions and Weierstrass functions, which may be non-differentiable and non-integrable in the sense of ordinary calculus.
Gowrisankar, Arulprakash   +2 more
openaire   +3 more sources

A renormalisation approach to excitable reaction-diffusion waves in fractal media [PDF]

open access: yes, 2003
Of fundamental importance to wave propagation in a wide range of physical phenomena is the structural geometry of the supporting medium. Recently, there have been several investigations on wave propagation in fractal media.
Abdulbake, Janan   +2 more
core   +4 more sources

Acknowledgement to Reviewers of Fractal Fract in 2019

open access: yesFractal and Fractional, 2020
The editorial team greatly appreciates the reviewers who have dedicated their considerable time and expertise to the journal’s rigorous editorial process over the past 12 months, regardless of whether the papers are finally published or not [...]
Fractal and Fractional Editorial Office
doaj   +1 more source

Evaluating social learning in participatory mapping of ecosystem services

open access: yesEcosystems and People, 2019
Recent studies have shown the opportunities and limitations of participatory mapping for ecosystem services management, although it is an incipient research area. One of the research questions yet to be addressed is whether the composition of stakeholder
Ana P. García-Nieto   +6 more
doaj   +1 more source

Fractal dimension for fractal structures

open access: yesTopology and its Applications, 2014
The main goal of this paper has a double purpose. On the one hand, we propose a new definition in order to compute the fractal dimension of a subset respect to any fractal structure, which completes the theory of classical box-counting dimension. Indeed, if we select the so called natural fractal structure on each euclidean space, then we will get the ...
Fernández-Martínez, M.   +1 more
openaire   +3 more sources

Acknowledgement to Reviewers of Fractal Fract in 2018

open access: yesFractal and Fractional, 2019
Rigorous peer-review is the corner-stone of high-quality academic publishing [...]
Fractal Fract Editorial Office
doaj   +1 more source

Fractal Pharmacokinetics [PDF]

open access: yesComputational and Mathematical Methods in Medicine, 2009
Pharmacokinetics (PK) has been traditionally dealt with under the homogeneity assumption. However, biological systems are nowadays comprehensively understood as being inherently fractal. Specifically, the microenvironments where drug molecules interact with membrane interfaces, metabolic enzymes or pharmacological receptors, are unanimously recognized ...
openaire   +2 more sources

Effect of Heterogeneity in Initial Geographic Distribution on Opinions’ Competitiveness

open access: yesEntropy, 2015
Spin dynamics on networks allows us to understand how a global consensus emerges out of individual opinions. Here, we are interested in the effect of heterogeneity in the initial geographic distribution of a competing opinion on the competitiveness of ...
Alexander S. Balankin   +5 more
doaj   +1 more source

Circle grid fractal plate as a turbulent generator for premixed flame: an overview [PDF]

open access: yes, 2013
This review paper focuses to ascertain a new approach in turbulence generation on the structure of premixed flames and external combustion using a fractal grid pattern.
Othman, Mohd Fahmi   +13 more
core   +1 more source

Revolving fractals [PDF]

open access: yesJournal of Fractal Geometry, Mathematics of Fractals and Related Topics, 2021
Davis and Knuth in 1970 introduced the notion of revolving sequences, as representations of a Gaussian integer. Later, Mizutani and Ito pointed out a close relationship between a set of points determined by all revolving sequences and a self-similar set, which is called the Dragon.
Kawamura, Kiko, Allen, Andrew
openaire   +2 more sources

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