Chaotic behaviour of fractional predator-prey dynamical system

S Kumar, R Kumar, C Cattani, B Samet - Chaos, Solitons & Fractals, 2020 - Elsevier
In this endeavour, Bernstein wavelet and Euler methods are used to solve a nonlinear
fractional predator-prey biological model of two species. The theoretical results with their …

Multiobjective optimization inspired by behavior of jellyfish for solving structural design problems

JS Chou, DN Truong - Chaos, Solitons & Fractals, 2020 - Elsevier
This study develops a Multi-Objective Jellyfish Search (MOJS) algorithm to solve
engineering problems optimally with multiple objectives. Lévy flight, elite population, fixed …

Approximation methods for solving fractional equations

SS Zeid - Chaos, Solitons & Fractals, 2019 - Elsevier
In this review paper, we are mainly concerned with the numerical methods for solving
fractional equations, which are divided into the fractional differential equations (FDEs), time …

A cardinal approach for nonlinear variable-order time fractional Schrödinger equation defined by Atangana–Baleanu–Caputo derivative

MH Heydari, A Atangana - Chaos, Solitons & Fractals, 2019 - Elsevier
This paper is concerned with an operational matrix method based on the shifted Legendre
cardinal functions for solving the nonlinear variable-order time fractional Schrödinger …

A wavelet approach for solving multi-term variable-order time fractional diffusion-wave equation

MH Heydari, Z Avazzadeh, MF Haromi - Applied Mathematics and …, 2019 - Elsevier
We firstly generalize a multi-term time fractional diffusion-wave equation to the multi-term
variable-order time fractional diffusion-wave equation (MV-TFD-E) by the concept of variable …

A meshfree approach for solving 2D variable-order fractional nonlinear diffusion-wave equation

Y Shekari, A Tayebi, MH Heydari - Computer Methods in Applied …, 2019 - Elsevier
This paper is concerned with the moving least squares (MLS) meshless approach for the
numerical solution of two-dimensional (2D) variable-order time fractional nonlinear diffusion …

A computational method for solving variable-order fractional nonlinear diffusion-wave equation

MH Heydari, Z Avazzadeh, Y Yang - Applied Mathematics and …, 2019 - Elsevier
In this paper, we generalize a one-dimensional fractional diffusion-wave equation to a one-
dimensional variable-order space-time fractional nonlinear diffusion-wave equation (V-OS …

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

R Roohi, MH Heydari, O Bavi, H Emdad - Engineering with Computers, 2021 - Springer
The generalized Couette flow of Jeffrey nanofluid through porous medium, subjected to the
oscillating pressure gradient and mixed convection, is numerically simulated using variable …

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

M Hosseininia, MH Heydari, R Roohi… - Journal of Computational …, 2019 - Elsevier
In this study, we focus on the mathematical model of hyperthermia treatment as one the most
constructive and effective procedures. Considering the sophisticated nature of involving …

Chebyshev cardinal functions for a new class of nonlinear optimal control problems generated by Atangana–Baleanu–Caputo variable-order fractional derivative

MH Heydari - Chaos, Solitons & Fractals, 2020 - Elsevier
This paper introduces a novel class of nonlinear optimal control problems generated by
dynamical systems involved with variable-order fractional derivatives in the Atangana …