Schrödinger equation involving fractional operators with non-singular kernel

An advanced numerical modeling for Riesz space fractional advection–dispersion equations by a meshfree approach

(2016) Z.B. Yuan et al.   APPLIED MATHEMATICAL MODELLING

Controlling the wave movement on the surface of shallow water with the Caputo–Fabrizio derivative with fractional order

(2016) B.S.T. Alkahtani et al.   CHAOS SOLITONS & FRACTALS

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

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

Triple pendulum model involving fractional derivatives with different kernels

(2016) A. Coronel-Escamilla et al.   CHAOS SOLITONS & FRACTALS

Chaos on the Vallis Model for El Niño with Fractional Operators

(2016) Badr Alkahtani et al.   Entropy

Challenges in fractional dynamics and control theory

(2016) Dumitru Baleanu et al.   JOURNAL OF VIBRATION AND CONTROL

Propagation dynamics of super-Gaussian beams in fractional Schrödinger equation: from linear to nonlinear regimes

(2016) Lifu Zhang et al.   OPTICS EXPRESS

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

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

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

Multi-spike positive solutions for nonlinear fractional Schrödinger equations

(2015) Wei Long et al.   APPLICABLE ANALYSIS

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

What is a fractional derivative?

(2015) Manuel D. Ortigueira et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fractional Schrödinger equation for a particle moving in a potential well

(2013) Yuri Luchko   JOURNAL OF MATHEMATICAL PHYSICS

Fractional-time Schrödinger equation: Fractional dynamics on a comb

(2011) Alexander Iomin   CHAOS SOLITONS & FRACTALS

A Fractional Schrödinger Equation and Its Solution

(2010) Sami I. Muslih et al.   INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS