Analytical solutions and numerical schemes of certain generalized fractional diffusion models

Robustness of fractional difference schemes via the Caputo subdiffusion-reaction equations

(2018) Kolade M. Owolabi et al.   CHAOS SOLITONS & FRACTALS

On the physical interpretation of fractional diffusion

(2018) Enrique Nadal et al.   COMPTES RENDUS MECANIQUE

Reprint of: Boundary conditions for fractional diffusion

(2018) Boris Baeumer et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Stokes’ first problem for heated flat plate with Atangana–Baleanu fractional derivative

(2018) Ndolane Sene   CHAOS SOLITONS & FRACTALS

On an accurate discretization of a variable-order fractional reaction-diffusion equation

(2018) Mojtaba Hajipour et al.   Communications in Nonlinear Science and Numerical Simulation

On generalized fractional operators and a gronwall type inequality with applications

(2017) Yassine Adjabi et al.   Filomat

Analysis of the fractional diffusion equations with fractional derivative of non-singular kernel

(2017) Mohammed Al-Refai et al.   Advances in Difference Equations

On a new class of fractional operators

(2017) Fahd Jarad et al.   Advances in Difference Equations

On the generalized fractional derivatives and their Caputo modification

(2017) Fahd Jarad et al.   Journal of Nonlinear Sciences and Applications

Chaotic processes using the two-parameter derivative with non-singular and non-local kernel: Basic theory and applications

(2016) Emile Franc Doungmo Goufo   CHAOS

Numerical solution of fractional diffusion-wave equation based on fractional multistep method

(2014) J.Y. Yang et al.   APPLIED MATHEMATICAL MODELLING

The solution of the time-fractional diffusion equation by the generalized differential transform method

(2011) Ayşegül Çetinkaya et al.   MATHEMATICAL AND COMPUTER MODELLING

On the numerical solutions for the fractional diffusion equation

(2010) M.M. Khader   Communications in Nonlinear Science and Numerical Simulation

Mittag–Leffler stability of fractional order nonlinear dynamic systems

(2009) Yan Li et al.   AUTOMATICA

Matrix approach to discrete fractional calculus II: Partial fractional differential equations

(2009) Igor Podlubny et al.   JOURNAL OF COMPUTATIONAL PHYSICS