Estimates for a general fractional relaxation equation and application to an inverse source problem

On the Laplace integral representation of multivariate Mittag-Leffler functions in anomalous relaxation

(2016) Raoul R. Nigmatullin et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data

(2016) Bangti Jin et al.   Fractional Calculus and Applied Analysis

General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems

(2016) Yuri Luchko et al.   Fractional Calculus and Applied Analysis

Completely monotone functions and some classes of fractional evolution equations

(2015) Emilia Bazhlekova   INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

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

Strong analytic solutions of fractional Cauchy problems

(2014) Jebessa B. Mijena et al.   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Identifying an unknown source in time-fractional diffusion equation by a truncation method

(2013) Z.Q. Zhang et al.   APPLIED MATHEMATICS AND COMPUTATION

Exact solution of two-term time-fractional Thornley's problem by operational method

(2013) Emilia Bazhlekova et al.   INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain

(2012) H. Jiang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

The Fractional Poisson Process and the Inverse Stable Subordinator

(2012) Mark Meerschaert et al.   ELECTRONIC JOURNAL OF PROBABILITY

General Fractional Calculus, Evolution Equations, and Renewal Processes

(2011) Anatoly N. Kochubei   INTEGRAL EQUATIONS AND OPERATOR THEORY

Inverse source problem for a fractional diffusion equation

(2011) Ying Zhang et al.   INVERSE PROBLEMS

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

Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation

(2010) Yury Luchko   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Distributed order calculus and equations of ultraslow diffusion

(2007) Anatoly N. Kochubei   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS