Stock volatility as an anomalous diffusion process by Rubén V. Arévalo, J. Alberto Conejero, Òscar Garibo-i-Orts, Alfred Peris

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Anomalous Diffusion with an Irreversible Linear Reaction and Sorption-Desorption Process by Maike A. F. dos Santos, Marcelo K. Lenzi, Ervin K. Lenzi

“…In this sense, we show how the surface effects modify the bulk dynamics and promote an anomalous diffusion of system.…”
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Modeling Anomalous Diffusion by a Subordinated Integrated Brownian Motion by Long Shi, Aiguo Xiao

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Anomalous diffusion and factor ordering in (1+1)-dimensional Lorentzian quantum gravity by E. Sanderson, R.L. Maitra, A.J. Liberatore

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Modeling Anomalous Transport of Cosmic Rays in the Heliosphere Using a Fractional Fokker–Planck Equation by José Luis Díaz Palencia

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On the Regularity of the Entropy Solution of the Fractional-Semigeostrophic Equation Using Ultrafilters by Gilles Tamba Bokolo

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Effects of the dynamics of noise-induced calcium signals in a biophysical model of the astrocytic process by Ermolaeva, Anastasia Viktorovna, Kastalskiy, Innokentiy A., Kazantsev, Viktor Borisovich, Gordleeva, Susanna Yurevna

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Subdiffusion Equation with Fractional Caputo Time Derivative with Respect to Another Function in Modeling Superdiffusion by Tadeusz Kosztołowicz

Subjects: “…anomalous diffusion…”
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Chover-Type Laws of the Iterated Logarithm for Continuous Time Random Walks by Kyo-Shin Hwang, Wensheng Wang

“…A continuous time random walk is a random walk subordinated to a renewal process used in physics to model anomalous diffusion. In this paper, we establish Chover-type laws of the iterated logarithm for continuous time random walks with jumps and waiting times in the domains of attraction of stable laws.…”
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Similarity Solution for Fractional Diffusion Equation by Jun-Sheng Duan, Ai-Ping Guo, Wen-Zai Yun

“…Fractional diffusion equation in fractal media is an integropartial differential equation parametrized by fractal Hausdorff dimension and anomalous diffusion exponent. In this paper, the similarity solution of the fractional diffusion equation was considered. …”
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On multiple-particle continuous-time random walks by Peter Becker-Kern, Hans-Peter Scheffler

“…Scaling limits of continuous-time random walks are used in physics to model anomalous diffusion in which particles spread at a different rate than the classical Brownian motion. …”
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The 𝑀-Wright Function in Time-Fractional Diffusion Processes: A Tutorial Survey by Francesco Mainardi, Antonio Mura, Gianni Pagnini

“…Furthermore, these processes provide stochastic models suitable for describing phenomena of anomalous diffusion of both slow and fast types.…”
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Anomalous Grain Boundary Diffusion: Fractional Calculus Approach by Renat T. Sibatov

“…Here, we generalize the Fisher model to the case of non-Fickian (anomalous) diffusion ubiquitous in disordered materials. …”
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Stability and Convergence of an Effective Numerical Method for the Time-Space Fractional Fokker-Planck Equation with a Nonlinear Source Term by Qianqian Yang, Fawang Liu, Ian Turner

“…Fractional Fokker-Planck equations (FFPEs) have gained much interest recently for describing transport dynamics in complex systems that are governed by anomalous diffusion and nonexponential relaxation patterns. …”
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A New Variant of B-Spline for the Solution of Modified Fractional Anomalous Subdiffusion Equation by M. S. Hashmi, Zainab Shehzad, Asifa Ashraf, Zhiyue Zhang, Yu-Pei Lv, Abdul Ghaffar, Mustafa Inc, Ayman A. Aly

“…The objective of this paper is to present an efficient numerical technique for solving time fractional modified anomalous subdiffusion equation. Anomalous diffusion equation has its role in various branches of biological sciences. …”
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Numerical Method to Modify the Fractional-Order Diffusion Equation by Yunkun Chen

“…Time or space or time-space fractional-order diffusion equations (FODEs) are widely used to describe anomalous diffusion processes in many physical and biological systems. …”
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Turbulent drifts of impurity ions as an explanation for anomalous radial transport in the far-SOL of DIII-D by S.A. Zamperini, T.N. Bernard, D.L Rudakov, J.A Boedo

“…This requires reliable predictions of impurity transport from the scrape-off layer (SOL) into the core, beyond the traditional ‘anomalous’ diffusion approach. We report a set of far-SOL tungsten transport simulations that demonstrate the role of turbulent drifts on radial impurity transport. …”
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In situ delivery of synthetic preimplantation factor using aldehyde-modified hyaluronic acid hydrogel with immobilized complexes of chondroitin sulfate derivatives by Tutut Habibah, Andrea Exnerová, Kristina Nešporová, Una FitzGerald, Abhay Pandit, Marek Ingr, Martin Pravda, Vladimír Velebný

“…Key properties were analyzed, including moderate gelation time (193 s), swelling profile (18 %), injectability (27 G needle) and an established relevant release profile (20 μg/daily ± 3) via anomalous diffusion. Increasing CSOX concentration reduced initial burst release by 38 % (0.5 % CSOX) to 78 % (1 % CSOX), extending release time (T50 %) from 50 h (0.5 % CSOX) to 88 h (1 % CSOX). …”
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