Results 21 to 30 of about 60,664 (263)

Fractional Diffusion on Bounded Domains

Fractional Calculus and Applied Analysis, 2015
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Defterli, Ozlem, D'Elia, Marta, Du, Qiang, Gunzburger, Max, Lehoucq, Rich, Meerschaert, Mark M.   +5 more
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On the evolution of fractional diffusive waves [PDF]

Ricerche di Matematica, 2019
12 pages, 11 ...
Armando Consiglio, Francesco Mainardi
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Global existence and blow-up of generalized self-similar solutions for a space-fractional diffusion equation with mixed conditions

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2021
This paper investigates the problem of the existence and uniqueness of solutions under the generalized self-similar forms to the space-fractional diffusion equation.
Farid Nouioua, Bilal Basti
doaj  

Local Stability, Global Stability, and Simulations in a Fractional Discrete Glycolysis Reaction–Diffusion Model

Fractal and Fractional, 2023
In the last few years, reaction–diffusion models associated with discrete fractional calculus have risen in prominence in scientific fields, not just due to the requirement for numerical simulation but also due to the described biological phenomena. This
Tareq Hamadneh, Amel Hioual, Omar Alsayyed, Yazan Alaya AL-Khassawneh, Abdallah Al-Husban, Adel Ouannas   +5 more
doaj   +1 more source

Fractional-calculus diffusion equation [PDF]

Nonlinear Biomedical Physics, 2010
Sequel to the work on the quantization of nonconservative systems using fractional calculus and quantization of a system with Brownian motion, which aims to consider the dissipation effects in quantum-mechanical description of microscale systems.The canonical quantization of a system represented classically by one-dimensional Fick's law, and the ...
Ajlouni, Abdul-Wali M. S., Al-Rabai'ah, Hussam A.   +1 more
openaire   +2 more sources

An Investigation of Methanol Anomalous Diffusion in Mesoporous Silica

Фізика і хімія твердого тіла, 2016
Methanol transport in mesoporous silica is investigated. It is demonstrated that usual approach based on the second Fick’s law fails describing the experimental kinetic data.
A. A. Zhokh, P. E. Strizhak
doaj   +1 more source

The invariant subspace method for solving nonlinear fractional partial differential equations with generalized fractional derivatives

Advances in Difference Equations, 2020
In this paper, we show that the invariant subspace method can be successfully utilized to get exact solutions for nonlinear fractional partial differential equations with generalized fractional derivatives. Using the invariant subspace method, some exact
Mohamed S. Abdel Latif, Abass H. Abdel Kader, Dumitru Baleanu   +2 more
doaj   +1 more source

Semi-Fractional Diffusion Equations [PDF]

Fractional Calculus and Applied Analysis, 2019
32 pages, 5 ...
Kern, Peter, Lage, Svenja, Meerschaert, Mark M.   +2 more
openaire   +2 more sources

Comprehensive analysis of early fractional anisotropy changes in acute ischemic stroke. [PDF]

PLoS ONE, 2017
Cerebral ischemia leads to a rapid decrease of the apparent diffusion coefficient. For fractional anisotropy both increase and decrease have been reported in acute ischemic stroke.
Anna Christina Alegiani, Simon MacLean, Hanna Braass, Susanne Siemonsen, Christian Gerloff, Jens Fiehler, Tae-Hee Cho, Laurent Derex, Marc Hermier, Yves Berthezene, Norbert Nighoghossian, Götz Thomalla   +11 more
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New Insights into the Fractional Order Diffusion Equation Using Entropy and Kurtosis

Entropy, 2014
Fractional order derivative operators offer a concise description to model multi-scale, heterogeneous and non-local systems. Specifically, in magnetic resonance imaging, there has been recent work to apply fractional order derivatives to model the non ...
Carson Ingo, Richard L. Magin, Todd B. Parrish   +2 more
doaj   +1 more source