Atangana-Baleanu fractional derivative applied to electromagnetic waves in dielectric media

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

(2016) Abdon Atangana   APPLIED MATHEMATICS AND COMPUTATION

Triple pendulum model involving fractional derivatives with different kernels

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

Atangana-Baleanu fractional derivative applied to electromagnetic waves in dielectric media

(2016) J. F. Gómez-Aguilar et al.   JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS

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

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

On the stability and convergence of the time-fractional variable order telegraph equation

(2015) Abdon Atangana   JOURNAL OF COMPUTATIONAL PHYSICS

Space-fractional advection–dispersion equations by the Kansa method

(2015) Guofei Pang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Universal character of the fractional space-time electromagnetic waves in dielectric media

(2015) J.F. Gómez-Aguilar et al.   JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS

A novel FDTD formulation based on fractional derivatives for dispersive Havriliak–Negami media

(2015) P. Bia et al.   SIGNAL PROCESSING

AN EXACT SOLUTION OF THE CYLINDRICAL WAVE EQUATION FOR ELECTROMAGNETIC FIELD IN FRACTIONAL DIMENSIONAL SPACE

(2015) Muhammad Zubair et al.   Progress in Electromagnetics Research-PIER

Fractional Derivative Based FDTD Modeling of Transient Wave Propagation in Havriliak–Negami Media

(2014) Luciano Mescia et al.   IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES

Electromagnetic scattering from inhomogeneous planar-layered chiral media using the finite difference method

(2013) D. Zarifi et al.   JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS

General solution for TEM, TE, and TM waves in fractional dimensional space and its application in rectangular waveguide filled with fractional space

(2013) S. Khan et al.   JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS

Boundary particle method for Laplace transformed time fractional diffusion equations

(2012) Zhuo-Jia Fu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fields in fractional dual DB waveguides containing chiral nihility metamaterials

(2012) S. Gulistan et al.   JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS

Electromagnetic Green’s function for fractional space

(2012) H. Asad et al.   JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS

On electromagnetic wave propagation in fractional space

(2011) M. Zubair et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Gauge invariant fractional electromagnetic fields

(2011) Matheus Jatkoske Lazo   PHYSICS LETTERS A