Fractional motions
II Eliazar, MF Shlesinger - Physics reports, 2013 - Elsevier
Brownian motion is the archetypal model for random transport processes in science and
engineering. Brownian motion displays neither wild fluctuations (the “Noah effect”), nor long …
engineering. Brownian motion displays neither wild fluctuations (the “Noah effect”), nor long …
[图书][B] Stochastic models for fractional calculus
MM Meerschaert, A Sikorskii - 2019 - books.google.com
Fractional calculus is a rapidly growing field of research, at the interface between probability,
differential equations, and mathematical physics. It is used to model anomalous diffusion, in …
differential equations, and mathematical physics. It is used to model anomalous diffusion, in …
A survey on fractional derivative modeling of power-law frequency-dependent viscous dissipative and scattering attenuation in acoustic wave propagation
This paper aims at presenting a survey of the fractional derivative acoustic wave equations,
which have been developed in recent decades to describe the observed frequency …
which have been developed in recent decades to describe the observed frequency …
A method based on the Jacobi tau approximation for solving multi-term time–space fractional partial differential equations
In this paper, we propose and analyze an efficient operational formulation of spectral tau
method for multi-term time–space fractional differential equation with Dirichlet boundary …
method for multi-term time–space fractional differential equation with Dirichlet boundary …
Solution of multi-term time-fractional PDE models arising in mathematical biology and physics by local meshless method
Fractional differential equations depict nature sufficiently in light of the symmetry properties
which describe biological and physical processes. This article is concerned with the …
which describe biological and physical processes. This article is concerned with the …
Numerical methods for solving the multi-term time-fractional wave-diffusion equation
In this paper, the multi-term time-fractional wave-diffusion equations are considered. The
multi-term time fractional derivatives are defined in the Caputo sense, whose orders belong …
multi-term time fractional derivatives are defined in the Caputo sense, whose orders belong …
[HTML][HTML] The Galerkin finite element method for a multi-term time-fractional diffusion equation
We consider the initial/boundary value problem for a diffusion equation involving multiple
time-fractional derivatives on a bounded convex polyhedral domain. We analyze a space …
time-fractional derivatives on a bounded convex polyhedral domain. We analyze a space …
Modeling power law absorption and dispersion for acoustic propagation using the fractional Laplacian
The efficient simulation of wave propagation through lossy media in which the absorption
follows a frequency power law has many important applications in biomedical ultrasonics …
follows a frequency power law has many important applications in biomedical ultrasonics …
Analytical solutions for the multi-term time–space Caputo–Riesz fractional advection–diffusion equations on a finite domain
Generalized fractional partial differential equations have now found wide application for
describing important physical phenomena, such as subdiffusive and superdiffusive …
describing important physical phenomena, such as subdiffusive and superdiffusive …
Application of local meshless method for the solution of two term time fractional-order multi-dimensional PDE arising in heat and mass transfer
In this article, we presented an efficient local meshless method for the numerical treatment of
two term time fractional-order multi-dimensional diffusion PDE. The demand of meshless …
two term time fractional-order multi-dimensional diffusion PDE. The demand of meshless …