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

Distributed-order fractional constitutive stress–strain relation in wave propagation modeling

(2019) Sanja Konjik et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

INVERSE PROBLEMS FOR A GENERALIZED SUBDIFFUSION EQUATION WITH FINAL OVERDETERMINATION

(2019) Jaan Janno et al.   Mathematical Modelling and Analysis

Inverse problem with a time‐integral condition for a fractional diffusion equation

(2019) Halyna Lopushanska et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Reconstruction and stable recovery of source terms and coefficients appearing in diffusion equations

(2019) Yavar Kian et al.   INVERSE PROBLEMS

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

A source identification problem in a time-fractional wave equation with a dynamical boundary condition

(2018) K. Šišková et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Reconstruction of an order of derivative and a source term in a fractional diffusion equation from final measurements

(2018) Jaan Janno et al.   INVERSE PROBLEMS

Uniqueness for an inverse source problem of determining a space dependent source in a time-fractional diffusion equation

(2018) Marián Slodička et al.   APPLIED MATHEMATICS LETTERS

Identification of a kernel in an evolutionary integral equation occurring in subdiffusion

(2017) Jaan Janno et al.   Journal of Inverse and Ill-Posed Problems

Inverse problems for a perturbed time fractional diffusion equation with final overdetermination

(2017) Nataliia Kinash et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

On the new fractional derivative and application to nonlinear Fisher’s reaction–diffusion equation

(2016) Abdon Atangana   APPLIED MATHEMATICS AND COMPUTATION

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

(2016) Ting Wei et al.   APPLIED MATHEMATICS LETTERS

Atangana-Baleanu fractional derivative applied to electromagnetic waves in dielectric media

(2016) J. F. Gómez-Aguilar et al.   JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS

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

Analysis of the Keller–Segel Model with a Fractional Derivative without Singular Kernel

(2015) Abdon Atangana et al.   Entropy

A tutorial on inverse problems for anomalous diffusion processes

(2015) Bangti Jin et al.   INVERSE PROBLEMS

Fractional wave equation and damped waves

(2013) Yuri Luchko   JOURNAL OF MATHEMATICAL 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 wave equations with attenuation

(2012) Peter Straka et al.   Fractional Calculus and Applied Analysis

Truncated Lévy statistics for dispersive transport in disordered semiconductors

(2011) Renat T. Sibatov et al.   Communications in Nonlinear Science and Numerical Simulation

General Fractional Calculus, Evolution Equations, and Renewal Processes

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

Fractional Fokker-Planck equation with temperedα-stable waiting times: Langevin picture and computer simulation

(2010) Janusz Gajda et al.   PHYSICAL REVIEW E

Time-fractional Diffusion of Distributed Order

(2008) Francesco Mainardi et al.   JOURNAL OF VIBRATION AND CONTROL