Analytical solutions of Hristov diffusion equations with non-singular fractional derivatives

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

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

The Prabhakar or three parameter Mittag–Leffler function: Theory and application

(2018) Roberto Garra et al.   Communications in Nonlinear Science and Numerical Simulation

Reprint of: Boundary conditions for fractional diffusion

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

The heat radiation diffusion equation: Explicit analytical solutions by improved integral-balance method

(2018) Jordan Hristov   Thermal Science

Fourth-order fractional diffusion model of thermal grooving: integral approach to approximate closed form solution of the Mullins model

(2018) Jordan Hristov   Mathematical Modelling of Natural Phenomena

Fractional derivatives with no-index law property: Application to chaos and statistics

(2018) Abdon Atangana et al.   CHAOS SOLITONS & FRACTALS

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

(2018) Ndolane Sene   CHAOS SOLITONS & FRACTALS

On generalized fractional operators and a gronwall type inequality with applications

(2017) Yassine Adjabi et al.   Filomat

Multiple integral-balance method: Basic idea and an example with Mullin’s model of thermal grooving

(2017) Jordan Hristov   Thermal Science

On a new class of fractional operators

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

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

(2016) Emile Franc Doungmo Goufo   CHAOS

Transient heat diffusion with a non-singular fading memory: From the Cattaneo constitutive equation with Jeffrey’s Kernel to the Caputo-Fabrizio time-fractional derivative

(2016) Jordan Hristov   Thermal Science

The asymptotics of the solutions to the anomalous diffusion equations

(2013) Yutian Ma et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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

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

Improving the accuracy of heat balance integral methods applied to thermal problems with time dependent boundary conditions

(2010) S.L. Mitchell et al.   INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER

Optimal exponent heat balance and refined integral methods applied to Stefan problems

(2009) T.G. Myers   INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER

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

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