SIMULTANEOUS DETERMINATION OF A SOURCE TERM AND DIFFUSION CONCENTRATION FOR A MULTI-TERM SPACE-TIME FRACTIONAL DIFFUSION EQUATION

Analytical and numerical solution of an $$\varvec{n}$$-term fractional nonlinear dynamic oscillator

(2020) Ajith Kuriakose Mani et al.   NONLINEAR DYNAMICS

Inverse source problems for a space–time fractional differential equation

(2019) Muhammad Ali et al.   INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

An Inverse Problem for a Generalized Fractional Derivative with an Application in Reconstruction of Time- and Space-Dependent Sources in Fractional Diffusion and Wave Equations

(2019) Nataliia Kinash et al.   Mathematics

A new collection of real world applications of fractional calculus in science and engineering

(2018) HongGuang Sun et al.   Communications in Nonlinear Science and Numerical Simulation

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

(2018) Muhammad Ali et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Inverse source problem for a space-time fractional diffusion equation

(2018) Muhammad Ali et al.   Fractional Calculus and Applied Analysis

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

(2016) Ting Wei et al.   APPLIED MATHEMATICS LETTERS

An inverse problem for a family of time fractional diffusion equations

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

Relative fractional dynamics of stock markets

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

Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients

(2015) Zhiyuan Li et al.   APPLIED MATHEMATICS AND COMPUTATION

Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation

(2014) Zhiyuan Li et al.   APPLICABLE ANALYSIS

A fourth-order compact difference scheme for the parabolic inverse problem with an overspecification at a point

(2014) Akbar Mohebbi et al.   INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

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

Anomalous transport in the crowded world of biological cells

(2013) Felix Höfling et al.   REPORTS ON PROGRESS IN PHYSICS

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

Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions

(2010) Živorad Tomovski et al.   INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

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

(2010) Yury Luchko   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS