Variable-order fractional mean square displacement function with evolution of diffusibility

DOI10.1016/j.physa.2013.06.008zbMath1395.82163OpenAlexW2014402935MaRDI QIDQ1673208

Yixin Wang, Chen Cheng, Deshun Yin, Yan-Qing Li

Publication date: 11 September 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2013.06.008

zbMATH Keywords

mean square displacementvariable-order fractional operatorevolution of diffusibilitymemory of order

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Related Items

Variable-order fractional MSD function to describe the evolution of protein lateral diffusion ability in cell membranes, Fractional description of time-dependent mechanical property evolution in materials with strain softening behavior

Cites Work

• Unnamed Item
• The evolution of chaotic dynamics for fractional unified system
• On the selection and meaning of variable order operators for dynamic modeling
• Variable-order fractional derivatives and their numerical approximations
• Results for a fractional diffusion equation with a nonlocal term in spherical symmetry
• On mean square displacement behaviors of anomalous diffusions with variable and random orders
• Particle tracking for fractional diffusion with two time scales
• Variable order and distributed order fractional operators
• Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
• MULTISCALE STATISTICAL MODEL OF FULLY-DEVELOPED TURBULENCE PARTICLE ACCELERATIONS
• Integration and differentiation to a variable fractional order
• Fractional diffusion in inhomogeneous media
• The random walk's guide to anomalous diffusion: A fractional dynamics approach