Chebyshev polynomials for the numerical solution of fractal–fractional model of nonlinear Ginzburg–Landau equation

A new estimate for a quantity involving the Chebyshev polynomials of the first kind

(2019) Xuefeng Xu et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Error estimate of Fourier pseudo-spectral method for multidimensional nonlinear complex fractional Ginzburg–Landau equations

(2019) Wei Zeng et al.   APPLIED MATHEMATICS LETTERS

Modeling attractors of chaotic dynamical systems with fractal–fractional operators

(2019) Abdon Atangana et al.   CHAOS SOLITONS & FRACTALS

Chebyshev cardinal wavelets for nonlinear stochastic differential equations driven with variable-order fractional Brownian motion

(2019) M.H. Heydari et al.   CHAOS SOLITONS & FRACTALS

A direct method based on the Chebyshev polynomials for a new class of nonlinear variable-order fractional 2D optimal control problems

(2019) M.H. Heydari   JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

Efficient simulation of Gaussian Markov random fields by Chebyshev polynomial approximation

(2019) Mike Pereira et al.   Spatial Statistics

Numerical solution of space-time fractional PDEs using RBF-QR and Chebyshev polynomials

(2019) Sushil Kumar et al.   APPLIED NUMERICAL MATHEMATICS

Chebyshev polynomials for generalized Couette flow of fractional Jeffrey nanofluid subjected to several thermochemical effects

(2019) R. Roohi et al.   ENGINEERING WITH COMPUTERS

Numerical solution of nonlinear 2D optimal control problems generated by Atangana-Riemann-Liouville fractal-fractional derivative

(2019) M.H. Heydari   APPLIED NUMERICAL MATHEMATICS

A computational wavelet method for variable-order fractional model of dual phase lag bioheat equation

(2019) M. Hosseininia et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical study of unsteady natural convection of variable-order fractional Jeffrey nanofluid over an oscillating plate in a porous medium involved with magnetic, chemical and heat absorption effects using Chebyshev cardinal functions

(2019) R. Roohi et al.   European Physical Journal Plus

Numerical continuation of invariant solutions of the complex Ginzburg–Landau equation

(2018) Vanessa López   Communications in Nonlinear Science and Numerical Simulation

An efficient split-step quasi-compact finite difference method for the nonlinear fractional Ginzburg–Landau equations

(2018) Nan Wang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties

(2018) Abdon Atangana   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

An implicit midpoint difference scheme for the fractional Ginzburg–Landau equation

(2016) Pengde Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Derivative with two fractional orders: A new avenue of investigation toward revolution in fractional calculus

(2016) Abdon Atangana   European Physical Journal Plus

Numerical solution of fractional sub-diffusion and time-fractional diffusion-wave equations via fractional-order Legendre functions

(2016) M. R. Hooshmandasl et al.   European Physical Journal Plus

A new approach for numerical simulation of the time-dependent Ginzburg–Landau equations

(2015) Buyang Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An efficient computational method for solving fractional biharmonic equation

(2014) M.H. Heydari et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations

(2013) M.H. Heydari et al.   Communications in Nonlinear Science and Numerical Simulation

On the numerical solutions for the fractional diffusion equation

(2010) M.M. Khader   Communications in Nonlinear Science and Numerical Simulation

Fractional calculus in viscoelasticity: An experimental study

(2009) F.C. Meral et al.   Communications in Nonlinear Science and Numerical Simulation