Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits

Modeling biological systems with an improved fractional Gompertz law

(2019) Luigi Frunzo et al.   Communications in Nonlinear Science and Numerical Simulation

A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying

(2019) Devendra Kumar et al.   Advances in Difference Equations

A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag-Leffler laws

(2019) Devendra Kumar et al.   INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER

On the analysis of vibration equation involving a fractional derivative with Mittag‐Leffler law

(2019) Devendra Kumar et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

New numerical simulations for some real world problems with Atangana–Baleanu fractional derivative

(2019) Wei Gao et al.   CHAOS SOLITONS & FRACTALS

A new analysis of fractional Drinfeld–Sokolov–Wilson model with exponential memory

(2019) Sanjay Bhatter et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

A powerful approach for fractional Drinfeld–Sokolov–Wilson equation with Mittag-Leffler law

(2019) Wei Gao et al.   Alexandria Engineering Journal

A fractional epidemiological model for computer viruses pertaining to a new fractional derivative

(2018) Jagdev Singh et al.   APPLIED MATHEMATICS AND COMPUTATION

Modelling anomalous diffusion using fractional Bloch–Torrey equations on approximate irregular domains

(2018) Shanlin Qin et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel

(2018) Devendra Kumar et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

On a class of ordinary differential equations in the frame of Atangana–Baleanu fractional derivative

(2018) Fahd Jarad et al.   CHAOS SOLITONS & FRACTALS

Analytical and approximate solutions of fractional-order susceptible-infected-recovered epidemic model of childhood disease

(2018) H. M. Srivastava et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

EXACT TRAVELING-WAVE SOLUTION FOR LOCAL FRACTIONAL BOUSSINESQ EQUATION IN FRACTAL DOMAIN

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

A numerical approach based on ln-shifted Legendre polynomials for solving a fractional model of pollution

(2017) M. Jleli et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

On the new fractional derivative and application to nonlinear Fisher’s reaction–diffusion equation

(2016) Abdon Atangana   APPLIED MATHEMATICS AND COMPUTATION

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

Fractional Maxwell fluid with fractional derivative without singular kernel

(2016) Feng Gao 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

Application of Caputo-Fabrizio derivatives to MHD free convection flow of generalized Walters’-B fluid model

(2016) Farhad Ali et al.   European Physical Journal Plus

Modeling of a Mass-Spring-Damper System by Fractional Derivatives with and without a Singular Kernel

(2015) José Gómez-Aguilar et al.   Entropy

Recent history of fractional calculus

(2010) J. Tenreiro Machado et al.   Communications in Nonlinear Science and Numerical Simulation