Modified Atangana–Baleanu Caputo Operator for Time-Fractional Kuramoto–Sivashinsky Equation Via Quintic B-Splines

On an Extension of the Operator with Mittag-Leffler Kernel

(2022) Mohammed Al-Refai et al.   FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

Why fractional derivatives with nonsingular kernels should not be used

(2020) Kai Diethelm et al.   Fractional Calculus and Applied Analysis

Fractional Kuramoto–Sivashinsky equation with power law and stretched Mittag-Leffler kernel

(2019) M.A. Taneco-Hernández et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Crank–Nicholson difference method and reproducing kernel function for third order fractional differential equations in the sense of Atangana–Baleanu Caputo derivative

(2019) Ali Akgül et al.   CHAOS SOLITONS & FRACTALS

New numerical simulations for some real world problems with Atangana–Baleanu fractional derivative

(2019) Wei Gao et al.   CHAOS SOLITONS & FRACTALS

Fractional generalized Kuramoto-Sivashinsky equation: Formulation and solution

(2019) Akbar Nazari-Golshan   European Physical Journal Plus

A Numerical approach of fractional advection-diffusion equation with Atangana–Baleanu derivative

(2019) H. Tajadodi   CHAOS SOLITONS & FRACTALS

Analysis of reaction–diffusion system via a new fractional derivative with non-singular kernel

(2018) Khaled M. Saad et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Real world applications of fractional models by Atangana–Baleanu fractional derivative

(2018) Erdal Bas et al.   CHAOS SOLITONS & FRACTALS

On the solutions of fractional-time wave equation with memory effect involving operators with regular kernel

(2018) B. Cuahutenango-Barro et al.   CHAOS SOLITONS & FRACTALS

A fractional model of vertical transmission and cure of vector-borne diseases pertaining to the Atangana–Baleanu fractional derivatives

(2018) Aliyu Isa Aliyu et al.   CHAOS SOLITONS & FRACTALS

Numerical approximation of Riemann-Liouville definition of fractional derivative: From Riemann-Liouville to Atangana-Baleanu

(2017) Abdon Atangana et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Space–time fractional diffusion equation using a derivative with nonsingular and regular kernel

(2017) J.F. Gómez-Aguilar   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

New approach to find exact solutions of time-fractional Kuramoto–Sivashinsky equation

(2015) S. Sahoo et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

A higher-order finite element approach to the Kuramoto-Sivashinsky equation

(2012) D. Anders et al.   ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik

Quintic B-spline collocation method for numerical solution of the Kuramoto–Sivashinsky equation

(2009) R.C. Mittal et al.   Communications in Nonlinear Science and Numerical Simulation