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

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 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

An efficient computational approach for time-fractional Rosenau–Hyman equation

(2017) Jagdev Singh et al.   NEURAL COMPUTING & 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

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

(2017) Xiaojun Yang   Thermal Science

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

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

Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order

(2016) Abdon Atangana et al.   CHAOS SOLITONS & FRACTALS

Computational Study of Traveling Wave Solutions of Isothermal Chemical Systems

(2016) Yuanwei Qi et al.   Communications in Computational Physics

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

Solving the convection–diffusion equation by means of the optimal q-homotopy analysis method (Oq-HAM)

(2016) Mohamed S. Mohamed et al.   Results in Physics

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

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

(2015) José Gómez-Aguilar 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

Determination of optimal convergence-control parameter value in homotopy analysis method

(2013) S. Abbasbandy et al.   NUMERICAL ALGORITHMS

Predictor homotopy analysis method and its application to some nonlinear problems

(2010) S. Abbasbandy et al.   Communications in Nonlinear Science and Numerical Simulation

An optimal homotopy-analysis approach for strongly nonlinear differential equations

(2009) Shijun Liao   Communications in Nonlinear Science and Numerical Simulation