Results 31 to 40 of about 134,471 (280)

Analytic Solution of the Langevin Differential Equations Dominated by a Multibrot Fractal Set

open access: yesFractal and Fractional, 2021
We present an analytic solvability of a class of Langevin differential equations (LDEs) in the asset of geometric function theory. The analytic solutions of the LDEs are presented by utilizing a special kind of fractal function in a complex domain ...
Rabha W. Ibrahim, Dumitru Baleanu
doaj   +1 more source

Evidence of diffusive fractal aggregation of TiO2 nanoparticles by femtosecond laser ablation at ambient conditions

open access: yes, 2016
The specific mechanisms which leads to the formation of fractal nanostructures by pulsed laser deposition remain elusive despite intense research efforts, motivated mainly by the technological interest in obtaining tailored nanostructures with simple and
Archetti, D.   +5 more
core   +1 more source

Towards a More General Type of Univariate Constrained Interpolation With Fractal Splines

open access: yes, 2015
Recently, in [Electronic Transaction on Numerical Analysis, 41 (2014), pp. 420-442] authors introduced a new class of rational cubic fractal interpolation functions with linear denominators via fractal perturbation of traditional nonrecursive rational ...
Chand, A. K. B.   +2 more
core   +1 more source

Robustness of the Fractal Regime for the Multiple-Scattering Structure Factor

open access: yes, 2016
In the single-scattering theory of electromagnetic radiation, the {\it fractal regime} is a definite range in the photon momentum-transfer $q$, which is characterized by the scaling-law behavior of the structure factor: $S(q) \propto 1/q^{d_f}$.
Botet, Robert   +2 more
core   +1 more source

Grain boundary design based on fractal theory to improve intergranular corrosion resistance of TWIP steels

open access: yesMaterials & Design, 2020
The grain size in TWIP steel had a double fractal distribution, with a uniform diameter threshold of approximately 36 μm. Based on this threshold value, the grains were divided into fine and coarse grain sets. A good linear relationship was found between
Hao Fu   +4 more
doaj   +1 more source

Hodge-de Rham theory on fractal graphs and fractals

open access: yesCommunications on Pure and Applied Analysis, 2013
We present a new approach to the theory of k-forms on self-similar fractals. We work out the details for two examples, the standard Sierpinski gasket and the 3-dimensional Sierpinski gasket, but the method is expected to be effective for many PCF fractals and also infinitely ramified fractals such as the Sierpinski carpet.
Aaron, Skye   +3 more
openaire   +2 more sources

Advances in the Application of Fractal Theory to Oil and Gas Resource Assessment

open access: yesFractal and Fractional
In response to the growing complexity of global exploration targets, traditional Euclidean geometric and linear statistical methods reveal inherent theoretical limitations in characterizing hydrocarbon reservoirs as complex geological bodies that exhibit
Baolei Liu   +4 more
doaj   +1 more source

Convergent Calculation of the Asymptotic Dimension of Diffusion Limited Aggregates: Scaling and Renormalization of Small Clusters

open access: yes, 2000
Diffusion Limited Aggregation (DLA) is a model of fractal growth that had attained a paradigmatic status due to its simplicity and its underlying role for a variety of pattern forming processes.
Anders Levermann   +16 more
core   +1 more source

MPI‐Guided Photothermal Therapy of Prostate Cancer Using Stem Cell Delivery of Magnetotheranostic Nanoflowers

open access: yesAdvanced Functional Materials, EarlyView.
Tumor‐tropic human mesenchymal stem cells (hMSCs) were used as delivery vehicles for magnetotheranostic gold–iron oxide nanoflowers. Magnetic particle imaging of the iron component demonstrated widespread intratumoral distribution and sustained retention in contrast to injection of naked nanoflowers.
Behnaz Ghaemi   +7 more
wiley   +1 more source

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