On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag–Leffler kernel

On some new properties of fractional derivatives with Mittag-Leffler kernel

(2018) Dumitru Baleanu et al.   Communications in Nonlinear Science and Numerical Simulation

A new fractional operator of variable order: Application in the description of anomalous diffusion

(2017) Xiao-Jun Yang et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

General fractional calculus in non-singular power-law kernel applied to model anomalous diffusion phenomena in heat transfer problems

(2017) Feng Gao   Thermal Science

Fractional derivatives of constant and variable orders applied to anomalous relaxation models in heat transfer problems

(2017) Xiao-Jun Yang   Thermal Science

General fractional-order anomalous diffusion with non-singular power-law kernel

(2017) Xiao-Jun Yang et al.   Thermal Science

Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel

(2017) Thabet Abdeljawad et al.   Journal of Nonlinear Sciences and Applications

Grünwald–Letnikov operators for fractional relaxation in Havriliak–Negami models

(2016) Roberto Garrappa   Communications in Nonlinear Science and Numerical Simulation

A new fractional derivative without singular kernel: Application to the modelling of the steady heat flow

(2016) Xiao-Jun Yang et al.   Thermal Science

New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

(2016) Abdon Atangana et al.   Thermal Science

Nonlinear dynamics for local fractional Burgers’ equation arising in fractal flow

(2015) Xiao-Jun Yang et al.   NONLINEAR DYNAMICS

Discrete fractional diffusion equation

(2015) Guo-Cheng Wu et al.   NONLINEAR DYNAMICS

The Finite Difference Methods for Fractional Ordinary Differential Equations

(2013) Changpin Li et al.   NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION

Generalized variation iteration solution of an atmosphere-ocean oscillator model for global climate

(2011) Jiaqi Mo et al.   Journal of Systems Science & Complexity

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

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