Time fractional advection-dispersion equation

F Liu, VV Anh, I Turner, P Zhuang - Journal of Applied Mathematics and …, 2003 - Springer
A time fractional advection-dispersion equation is obtained from the standard advection-
dispersion equation by replacing the firstorder derivative in time by a fractional derivative in …

The fundamental solution of the space-time fractional advection-dispersion equation

F Huang, F Liu - Journal of Applied Mathematics and Computing, 2005 - Springer
A space-time fractional advection-dispersion equation (ADE) is a generalization of the
classical ADE in which the first-order time derivative is replaced with Caputo derivative of …

Multi-objective non-linear fixed charge transportation problem with multiple modes of transportation in crisp and interval environments

A Biswas, AA Shaikh, STA Niaki - Applied Soft Computing, 2019 - Elsevier
This paper aims to propose an approach based on NSGA-II for solving multi-objective non-
linear fixed charge transportation problem with multiple modes of transport in crisp and …

The space-time fractional diffusion equation with Caputo derivatives

F Huang, F Liu - Journal of Applied Mathematics and Computing, 2005 - Springer
We deal with the Cauchy problem for the space-time fractional diffusion equation, which is
obtained from standard diffusion equation by replacing the second-order space derivative …

A sixth bibliography of fractional programming

IM Stancu-Minasian - Optimization, 2006 - Taylor & Francis
This bibliography of fractional programming is a continuation of five previous bibliographies
by the author (Pure Appl. Math. Sci.(India), Vol. XIII, No. 1–2, 35–69, March (1981); ibid. Vol …

Fractional Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion problem

F Yang, JL Fu, P Fan, XX Li - Acta Applicandae Mathematicae, 2021 - Springer
In this paper, we study an inverse problem to determine an unknown source term in the time-
fractional diffusion equation with variable coefficients in a general bound domain. This …

Group iterative methods for the solution of two-dimensional time-fractional diffusion equation

AT Balasim, NHM Ali - AIP Conference Proceedings, 2016 - pubs.aip.org
Variety of problems in science and engineering may be described by fractional partial
differential equations (FPDE) in relation to space and/or time fractional derivatives. The …

Reference tracking problem for boundary controlled time fractional advection dispersion equation in the presence of disturbances

L Ghaffour, TM Laleg-Kirati - European Journal of Control, 2022 - Elsevier
In this paper, the output regulation problem of the time fractional advection-dispersion
equation is considered, in the presence of disturbances. A generalized backstep** …

Implicit difference approximation for the two-dimensional space-time fractional diffusion equation

P Zhuang, F Liu - Journal of Applied Mathematics and Computing, 2007 - Springer
In this paper, we consider a two-dimensional fractional spacetime diffusion equation
(2DFSTDE) on a finite domain. We examine an implicit difference approximation to solve the …

Detailed analysis of a conservative difference approximation for the time fractional diffusion equation

S Shen, F Liu, V Anh, I Turner - Journal of Applied Mathematics and …, 2006 - Springer
Diffusion equations that use time fractional derivatives are attractive because they describe
a wealth of problems involving non-Markovian Random walks. The time fractional diffusion …