An Inverse Problem for Anomalous Diffusion Equation with Bi-Ordinal Hilfer’s Derivative
Sign Up to like & getrecommendations! Published in 2019 at "Cybernetics and Systems Analysis"
DOI: 10.1007/s10559-019-00127-6
Abstract: The author formulates and solves the inverse problem of finding the field function and the source function dependent on the geometric variable for the anomalous diffusion equation with bi-ordinal Hilfer’s fractional derivative and variable direction… read more here.
Keywords: equation ordinal; problem; ordinal hilfer; anomalous diffusion ... See more keywords
Mathematical modelling of pattern formation in activator–inhibitor reaction–diffusion systems with anomalous diffusion
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Chemistry"
DOI: 10.1007/s10910-019-01089-y
Abstract: Auto-wave solutions in nonlinear time-fractional reaction–diffusion systems are investigated. It is shown that stability of steady-state solutions and their subsequent evolution are mainly determined by the eigenvalue spectrum of a linearized system and level of… read more here.
Keywords: diffusion; activator inhibitor; anomalous diffusion; diffusion systems ... See more keywords
Performance of multi-stage fractured horizontal wells with stimulated reservoir volume in tight gas reservoirs considering anomalous diffusion
Sign Up to like & getrecommendations! Published in 2018 at "Environmental Earth Sciences"
DOI: 10.1007/s12665-018-7947-8
Abstract: Horizontal well combined with volume fracturing technology has been extensively employed in the development of tight gas reservoirs. The disordered distribution of the induced and natural fractures in the reservoirs leads to the existence of… read more here.
Keywords: multi stage; tight gas; volume; gas reservoirs ... See more keywords
Fractional-space neutron point kinetics (F-SNPK) equations for nuclear reactor dynamics
Sign Up to like & getrecommendations! Published in 2017 at "Annals of Nuclear Energy"
DOI: 10.1016/j.anucene.2016.08.007
Abstract: The aim of this paper is the mathematical derivation, and numerical analysis of the fractional-space neutron point kinetics (F-SNPK) equations for nuclear reactor dynamics. The classic neutron point kinetics (CNPK) equations are one of the… read more here.
Keywords: fractional space; anomalous diffusion; reactor dynamics; point kinetics ... See more keywords
Macroscopic and microscopic anomalous diffusion in comb model with fractional dual-phase-lag model
Sign Up to like & getrecommendations! Published in 2018 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2018.06.019
Abstract: Abstract A novel constitutive equation which considers the macroscopic and microscopic relaxation characteristics and the memory and nonlocal characteristics is proposed to describe the anomalous diffusion in comb model. Formulated governing equation with the fractional… read more here.
Keywords: anomalous diffusion; model; macroscopic microscopic; diffusion comb ... See more keywords
Anomalous Behavior in Lipid Bilayer Membranes
Sign Up to like & getrecommendations! Published in 2017 at "Biophysical Journal"
DOI: 10.1016/j.bpj.2016.11.449
Abstract: In contrast to the diffusion of membrane components in artificial lipid bilayers, diffusion in cells is both slower and non-ergodic. The physical origins of such anomalous diffusion are poorly understood, though cytoskeletal-membrane interactions and nanoscopic… read more here.
Keywords: anomalous behavior; diffusion; anomalous diffusion; lipid bilayer ... See more keywords
Diffusion control for a tempered anomalous diffusion system using fractional-order PI controllers.
Sign Up to like & getrecommendations! Published in 2018 at "ISA transactions"
DOI: 10.1016/j.isatra.2017.04.005
Abstract: This paper is concerned with diffusion control problem of a tempered anomalous diffusion system based on fractional-order PI controllers. The contribution of this paper is to introduce fractional-order PI controllers into the tempered anomalous diffusion… read more here.
Keywords: diffusion; fractional order; order controllers; anomalous diffusion ... See more keywords
Rad4 recognition-at-a-distance: Physical basis of conformation-specific anomalous diffusion of DNA repair proteins.
Sign Up to like & getrecommendations! Published in 2017 at "Progress in biophysics and molecular biology"
DOI: 10.1016/j.pbiomolbio.2016.12.004
Abstract: Since Robert Brown's first observations of random walks by pollen particles suspended in solution, the concept of diffusion has been subject to countless theoretical and experimental studies in diverse fields from finance and social sciences,… read more here.
Keywords: anomalous diffusion; biology; diffusion; dna repair ... See more keywords
Parameter calibration between models and simulations: Connecting linear and non-linear descriptions of anomalous diffusion
Sign Up to like & getrecommendations! Published in 2018 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2018.06.025
Abstract: Abstract Anomalous diffusion is an ubiquitous phenomenon which have been studied by several approaches, including simulation, analytical methods and experiments. Partial differential equations, either fractional linear ones as non-linear, are able to describe the phenomenon,… read more here.
Keywords: diffusion; linear non; non linear; anomalous diffusion ... See more keywords
Objective comparison of methods to decode anomalous diffusion
Sign Up to like & getrecommendations! Published in 2021 at "Nature Communications"
DOI: 10.1038/s41467-021-26320-w
Abstract: Deviations from Brownian motion leading to anomalous diffusion are found in transport dynamics from quantum physics to life sciences. The characterization of anomalous diffusion from the measurement of an individual trajectory is a challenging task,… read more here.
Keywords: diffusion; objective comparison; comparison methods; anomalous diffusion ... See more keywords
Anomalous diffusion and the Moses effect in an aging deterministic model
Sign Up to like & getrecommendations! Published in 2018 at "New Journal of Physics"
DOI: 10.1088/1367-2630/aaeea2
Abstract: We decompose the anomalous diffusive behavior found in a model of aging into its fundamental constitutive causes. The model process is a sum of increments that are iterates of a chaotic dynamical system, the Pomeau-Manneville… read more here.
Keywords: anomalous diffusion; model; moses effect; diffusion moses ... See more keywords