An inverse random source problem for the time fractional diffusion equation driven by a fractional Brownian motion

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

(2018) Y. S. Li et al.   APPLIED MATHEMATICS AND COMPUTATION

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

Stability on the inverse random source scattering problem for the one-dimensional Helmholtz equation

(2017) Peijun Li et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Inverse Random Source Scattering for Elastic Waves

(2017) Gang Bao et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

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

Inverse Random Source Scattering Problems in Several Dimensions

(2016) Gang Bao et al.   SIAM-ASA Journal on Uncertainty Quantification

Boundary regularity for the fractional heat equation

(2015) Xavier Fernández-Real et al.   Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas

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

A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation

(2014) Ting Wei et al.   APPLIED NUMERICAL MATHEMATICS

Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation

(2013) Jun-Gang Wang et al.   APPLIED NUMERICAL MATHEMATICS

Uniqueness and reconstruction of an unknown semilinear term in a time-fractional reaction–diffusion equation

(2013) Yuri Luchko et al.   INVERSE PROBLEMS

An inverse random source problem for the Helmholtz equation

(2013) Gang Bao et al.   MATHEMATICS OF COMPUTATION

Reconstruction of a time-dependent source term in a time-fractional diffusion equation

(2012) T. Wei et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Conditional stability in determining a zeroth-order coefficient in a half-order fractional diffusion equation by a Carleman estimate

(2012) Masahiro Yamamoto et al.   INVERSE PROBLEMS

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

Hitchhikerʼs guide to the fractional Sobolev spaces

(2011) Eleonora Di Nezza et al.   BULLETIN DES SCIENCES MATHEMATIQUES

Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

(2011) Kenichi Sakamoto et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Inverse source problem with a final overdetermination for a fractional diffusion equation

(2011) Kenichi Sakamoto et al.   Mathematical Control and Related Fields

Implicit finite difference approximation for time fractional diffusion equations

(2008) Diego A. Murio   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Some recent advances in theory and simulation of fractional diffusion processes

(2008) Rudolf Gorenflo et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS