New discretization of Caputo–Fabrizio derivative

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

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

(2017) Xiao-Jun Yang   Thermal Science

A new fractional model for giving up smoking dynamics

(2017) Jagdev Singh et al.   Advances in Difference Equations

On the solutions of fractional order of evolution equations

(2017) V. F. Morales-Delgado et al.   European Physical Journal Plus

The Chronicles of Fractional Calculus

(2017) J.A.Tenreiro Machado et al.   Fractional Calculus and Applied Analysis

Solution of fractional oxygen diffusion problem having without singular kernel

(2017) Badr S. Alkahtani et al.   Journal of Nonlinear Sciences and Applications

Controlling the wave movement on the surface of shallow water with the Caputo–Fabrizio derivative with fractional order

(2016) B.S.T. Alkahtani et al.   CHAOS SOLITONS & FRACTALS

Comparing the Atangana–Baleanu and Caputo–Fabrizio derivative with fractional order: Allen Cahn model

(2016) Obaid Jefain Julaighim Algahtani   CHAOS SOLITONS & FRACTALS

Triple pendulum model involving fractional derivatives with different kernels

(2016) A. Coronel-Escamilla et al.   CHAOS SOLITONS & FRACTALS

APPLICATION OF THE CAPUTO-FABRIZIO FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL TO KORTEWEG-DE VRIES-BURGERS EQUATION∗

(2016) Emile Franc Doungmo Goufo   Mathematical Modelling and Analysis

Modeling diffusive transport with a fractional derivative without singular kernel

(2016) J.F. Gómez-Aguilar et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Fractional Maxwell fluid with fractional derivative without singular kernel

(2016) Feng Gao et al.   Thermal Science

Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation

(2016) Abdon Atangana et al.   Advances in Difference Equations

On Coupled Systems of Time-Fractional Differential Problems by Using a New Fractional Derivative

(2016) Ahmed Alsaedi et al.   Journal of Function Spaces

Fractional advection differential equation within Caputo and Caputo–Fabrizio derivatives

(2016) Dumitru Baleanu et al.   Advances in Mechanical Engineering

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

(2015) Abdon Atangana et al.   Entropy

A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications

(2013) Guang-hua Gao et al.   JOURNAL OF COMPUTATIONAL PHYSICS