Efficient numerical techniques for computing the Riesz fractional-order reaction-diffusion models arising in biology

Spatiotemporal (target) patterns in sub-diffusive predator-prey system with the Caputo operator

(2022) Manal Alqhtani et al.   CHAOS SOLITONS & FRACTALS

Modelling the transmission dynamics of Lassa fever with nonlinear incidence rate and vertical transmission

(2022) Afeez Abidemi et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

An approximate analytical view of physical and biological models in the setting of Caputo operator via Elzaki transform decomposition method

(2022) Saima Rashid et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Development of the reproducing kernel Hilbert space algorithm for numerical pointwise solution of the time-fractional nonlocal reaction-diffusion equation

(2022) Omar Abu Arqub et al.   Alexandria Engineering Journal

Computational analysis of different Pseudoplatystoma species patterns the Caputo-Fabrizio derivative

(2021) Kolade M. Owolabi   CHAOS SOLITONS & FRACTALS

Emergent patterns in diffusive Turing-like systems with fractional-order operator

(2021) Kolade M. Owolabi et al.   NEURAL COMPUTING & APPLICATIONS

A Chebyshev Wavelet Collocation Method for Some Types of Differential Problems

(2021) Sharanjeet Dhawan et al.   Symmetry-Basel

Analysis and pattern formation scenarios in the superdiffusive system of predation described with Caputo operator

(2021) Kolade M. Owolabi et al.   CHAOS SOLITONS & FRACTALS

A Numerical Algorithm for the Solutions of ABC Singular Lane–Emden Type Models Arising in Astrophysics Using Reproducing Kernel Discretization Method

(2020) Omar Abu Arqub et al.   Mathematics

On the Generalized Riesz Derivative

(2020) Chenkuan Li et al.   Mathematics

On Riesz derivative

(2019) Min Cai et al.   Fractional Calculus and Applied Analysis

Two‐sided and regularised Riesz‐Feller derivatives

(2019) Manuel Duarte Ortigueira   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Analytical and numerical solutions of mathematical biology models: The Newell‐Whitehead‐Segel and Allen‐Cahn equations

(2019) Bilge Inan et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Analytical study of exact solutions of the nonlinear Korteweg–de Vries equation with space–time fractional derivatives

(2018) Jiangen Liu et al.   MODERN PHYSICS LETTERS B

New numerical approach for fractional differential equations

(2018) Abdon Atangana et al.   Mathematical Modelling of Natural Phenomena

Ten equivalent definitions of the fractional laplace operator

(2017) Mateusz Kwaśnicki   Fractional Calculus and Applied Analysis

Mathematical analysis and numerical simulation of patterns in fractional and classical reaction-diffusion systems

(2016) Kolade M. Owolabi   CHAOS SOLITONS & FRACTALS

Fourier spectral method for higher order space fractional reaction–diffusion equations

(2016) Edson Pindza et al.   Communications in Nonlinear Science and Numerical Simulation

Numerical solution of fractional-in-space nonlinear Schrödinger equation with the Riesz fractional derivative

(2016) Kolade M. Owolabi et al.   European Physical Journal Plus

A class of second order difference approximations for solving space fractional diffusion equations

(2015) WenYi Tian et al.   MATHEMATICS OF COMPUTATION

High-Order Algorithms for Riesz Derivative and Their Applications(I)

(2014) Hengfei Ding et al.   Abstract and Applied Analysis

Fourier spectral methods for fractional-in-space reaction-diffusion equations

(2014) Alfonso Bueno-Orovio et al.   BIT NUMERICAL MATHEMATICS

SOME APPLICATIONS OF FRACTIONAL ORDER CALCULUS TO DESIGN DIGITAL FILTERS FOR BIOMEDICAL SIGNAL PROCESSING

(2012) YOUCEF FERDI   Journal of Mechanics in Medicine and Biology

Crank–Nicolson method for the fractional diffusion equation with the Riesz fractional derivative

(2011) Cem Çelik et al.   JOURNAL OF COMPUTATIONAL PHYSICS

General solutions to a class of time fractional partial differential equations

(2010) Feng-hui Huang et al.   APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION

Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

(2009) Q. Yang et al.   APPLIED MATHEMATICAL MODELLING

A note on fractional diffusion equations

(2009) S. Das   CHAOS SOLITONS & FRACTALS