Formulation of Euler-Lagrange and Hamilton equations involving fractional operators with regular kernel

Caputo-Fabrizio Derivative Applied to Groundwater Flow within Confined Aquifer

(2017) Abdon Atangana et al.   JOURNAL OF ENGINEERING MECHANICS

Caputo-Fabrizio Derivative Applied to Groundwater Flow within Confined Aquifer

(2017) Abdon Atangana et al.   JOURNAL OF ENGINEERING MECHANICS

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

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

Chua's circuit model with Atangana–Baleanu derivative with fractional order

(2016) Badr Saad T. Alkahtani   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

Modeling and simulation of the fractional space-time diffusion equation

(2016) J.F. Gómez-Aguilar et al.   Communications in Nonlinear Science and Numerical Simulation

Chaos on the Vallis Model for El Niño with Fractional Operators

(2016) Badr Alkahtani et al.   Entropy

Two analytical methods for time-fractional nonlinear coupled Boussinesq–Burger’s equations arise in propagation of shallow water waves

(2016) Sunil Kumar et al.   NONLINEAR DYNAMICS

An alternative Hamiltonian formulation for the Pais–Uhlenbeck oscillator

(2016) Ivan Masterov   NUCLEAR PHYSICS B

A new analysis for the Keller-Segel model of fractional order

(2016) Sunil Kumar et al.   NUMERICAL ALGORITHMS

Modeling diffusive transport with a fractional derivative without singular kernel

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

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

(2016) Abdon Atangana et al.   Thermal Science

Backward fractional advection dispersion model for contaminant source prediction

(2016) Yong Zhang et al.   WATER RESOURCES RESEARCH

Fractional modelling arising in unidirectional propagation of long waves in dispersive media

(2016) Sunil Kumar et al.   Advances in Nonlinear Analysis

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

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

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

(2015) José Gómez-Aguilar et al.   Entropy

On dynamical realizations of l-conformal Galilei and Newton–Hooke algebras

(2015) Anton Galajinsky et al.   NUCLEAR PHYSICS B

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

Conformal Newton–Hooke symmetry of Pais–Uhlenbeck oscillator

(2014) K. Andrzejewski et al.   NUCLEAR PHYSICS B

Conformal Newton–Hooke algebras, Niederer's transformation and Pais–Uhlenbeck oscillator

(2014) Krzysztof Andrzejewski   PHYSICS LETTERS B

Fractional Pais–Uhlenbeck Oscillator

(2011) Dumitru Baleanu et al.   INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

A new method of finding the fractional Euler–Lagrange and Hamilton equations within Caputo fractional derivatives

(2009) Dumitru Baleanu et al.   Communications in Nonlinear Science and Numerical Simulation

Matrix approach to discrete fractional calculus II: Partial fractional differential equations

(2009) Igor Podlubny et al.   JOURNAL OF COMPUTATIONAL PHYSICS