New fractional derivatives with non-singular kernel applied to the Burgers equation

Comparing the Caputo, Caputo-Fabrizio and Atangana-Baleanu derivative with fractional order: Fractional cubic isothermal auto-catalytic chemical system

(2018) K. M. Saad   European Physical Journal Plus

Atangana–Baleanu and Caputo Fabrizio Analysis of Fractional Derivatives for Heat and Mass Transfer of Second Grade Fluids over a Vertical Plate: A Comparative Study

(2017) Arshad Khan et al.   Entropy

NON-DIFFERENTIABLE EXACT SOLUTIONS FOR THE NONLINEAR ODES DEFINED ON FRACTAL SETS

(2017) XIAO-JUN YANG et al.   FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

A New Family of the Local Fractional PDEs

(2017) Xiao-Jun Yang et al.   FUNDAMENTA INFORMATICAE

A new analysis for fractional model of regularized long-wave equation arising in ion acoustic plasma waves

(2017) Devendra Kumar et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

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

Solutions of Cattaneo-Hristov model of elastic heat diffusion with Caputo-Fabrizio and Atangana-Baleanu fractional derivatives

(2017) Ilknur Koca et al.   Thermal Science

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

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

General fractional calculus operators containing the generalized Mittag-Leffler functions applied to anomalous relaxation

(2017) Xiaojun Yang   Thermal Science

On linear viscoelasticity within general fractional derivatives without singular kernel

(2017) Feng Gao et al.   Thermal Science

Optimal q-homotopy analysis method for time-space fractional gas dynamics equation

(2017) K. M. Saad et al.   European Physical Journal Plus

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

(2016) Obaid Jefain Julaighim Algahtani   CHAOS SOLITONS & FRACTALS

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

(2016) Abdon Atangana et al.   Thermal Science

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

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

New model of groundwater flowing within a confine aquifer: application of Caputo-Fabrizio derivative

(2015) Abdon Atangana et al.   Arabian Journal of Geosciences

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

(2015) Abdon Atangana et al.   Entropy

Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel

(2015) Abdon Atangana et al.   Advances in Mechanical Engineering

Extension of the resistance, inductance, capacitance electrical circuit to fractional derivative without singular kernel

(2015) Abdon Atangana et al.   Advances in Mechanical Engineering

NONTRIVIAL SOLUTIONS FOR BOUNDARY-VALUE PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

(2010) Yingxin Guo   Bulletin of the Korean Mathematical Society

SOLVABILITY FOR A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION

(2009) YINGXIN GUO   BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY

Traveling wave solutions to a reaction-diffusion equation

(2009) Zhaosheng Feng et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK