Inverse problem for a space-time fractional diffusion equation: Application of fractional Sturm-Liouville operator

Harnack's inequality for a space–time fractional diffusion equation and applications to an inverse source problem

(2017) Junxiong Jia et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Heterogeneous diffusion in comb and fractal grid structures

(2017) Trifce Sandev et al.   CHAOS SOLITONS & FRACTALS

Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions

(2016) Mansur I. Ismailov et al.   APPLIED MATHEMATICAL MODELLING

Uniqueness for an inverse space-dependent source term in a multi-dimensional time-fractional diffusion equation

(2016) Ting Wei et al.   APPLIED MATHEMATICS LETTERS

A multiple-scale MQ-RBF for solving the inverse Cauchy problems in arbitrary plane domain

(2016) Chein-Shan Liu et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

An inverse problem for a family of time fractional diffusion equations

(2016) Muhammad Ali et al.   INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

A backward problem for the time-fractional diffusion equation

(2016) Mohammad F. Al-Jamal   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Relative fractional dynamics of stock markets

(2016) J. A. Tenreiro Machado et al.   NONLINEAR DYNAMICS

Applications of the fractional Sturm-Liouville problem to the space-time fractional diffusion in a finite domain

(2016) Małgorzata Klimek et al.   Fractional Calculus and Applied Analysis

Diffusion process modeling by using fractional-order models

(2015) Dominik Sierociuk et al.   APPLIED MATHEMATICS AND COMPUTATION

A simple non-chaotic map generating subdiffusive, diffusive, and superdiffusive dynamics

(2015) Lucia Salari et al.   CHAOS

Transient flow in a linear reservoir for space–time fractional diffusion

(2015) C. Chen et al.   JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING

Subdiffusion in an external potential: Anomalous effects hiding behind normal behavior

(2015) Sergei Fedotov et al.   PHYSICAL REVIEW E

Simultaneous inversion for the exponents of the fractional time and space derivatives in the space-time fractional diffusion equation

(2014) Salİh Tatar et al.   APPLICABLE ANALYSIS

An inverse source problem for a one-dimensional space–time fractional diffusion equation

(2014) Salih Tatar et al.   APPLICABLE ANALYSIS

An inverse problem for a generalized fractional diffusion

(2014) Khaled M. Furati et al.   APPLIED MATHEMATICS AND COMPUTATION

Variational methods for the fractional Sturm–Liouville problem

(2014) Małgorzata Klimek et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking

(2014) Ralf Metzler et al.   PHYSICAL CHEMISTRY CHEMICAL PHYSICS

Multicomponent diffusion—A brief review

(2013) R. Byron Bird et al.   ADVANCES IN WATER RESOURCES

An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions

(2012) Mokhtar Kirane et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Determination of an unknown source term and the temperature distribution for the linear heat equation involving fractional derivative in time

(2011) Mokhtar Kirane et al.   APPLIED MATHEMATICS AND COMPUTATION

Estimation of parameters in fractional subdiffusion equations by the time integral characteristics method

(2011) S.Yu. Lukashchuk   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Some applications of the fractional Poisson probability distribution

(2009) Nick Laskin   JOURNAL OF MATHEMATICAL PHYSICS

Characterizations and simulations of a class of stochastic processes to model anomalous diffusion

(2008) A Mura et al.   Journal of Physics A-Mathematical and Theoretical