Analysis of differential equations involving Caputo–Fabrizio fractional operator and its applications to reaction–diffusion equations

New numerical surfaces to the mathematical model of cancer chemotherapy effect in Caputo fractional derivatives

(2019) P. Veeresha et al.   CHAOS

The uniqueness of solution for initial value problems for fractional differential equation involving the Caputo-Fabrizio derivative

(2018) Shuqin Zhang et al.   Journal of Nonlinear Sciences and Applications

Numerical approximation of Riemann-Liouville definition of fractional derivative: From Riemann-Liouville to Atangana-Baleanu

(2017) Abdon Atangana et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

A new derivative with normal distribution kernel: Theory, methods and applications

(2017) Abdon Atangana et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel

(2017) JF Gómez-Aguilar et al.   Advances in Difference Equations

On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations

(2017) S Melike Aydogan et al.   Advances in Difference Equations

On the existence of solutions for some infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential equations

(2017) Dumitru Baleanu et al.   Boundary Value Problems

Series Solution for the Time-Fractional Coupled mKdV Equation Using the Homotopy Analysis Method

(2016) J. F. Gómez-Aguilar et al.   MATHEMATICAL PROBLEMS IN ENGINEERING

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

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

Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel

(2016) JF Gómez-Aguilar et al.   Advances in Difference Equations

Solutions of the time fractional reaction–diffusion equations with residual power series method

(2016) Fairouz Tchier et al.   Advances in Mechanical Engineering

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

(2015) José Gómez-Aguilar et al.   Entropy

Existence and uniqueness for a problem involving Hilfer fractional derivative

(2012) K.M. Furati et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A new approach for solving a system of fractional partial differential equations

(2012) H. Jafari et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Fractional differential equations in electrochemistry

(2009) Keith B. Oldham   ADVANCES IN ENGINEERING SOFTWARE

Fractional calculus models of complex dynamics in biological tissues

(2009) Richard L. Magin   COMPUTERS & MATHEMATICS WITH APPLICATIONS