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Chaotic behaviour of fractional predator-prey dynamical system
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 …
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
This study develops a Multi-Objective Jellyfish Search (MOJS) algorithm to solve
engineering problems optimally with multiple objectives. Lévy flight, elite population, fixed …
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 …
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 …
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
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 …
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
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 …
numerical solution of two-dimensional (2D) variable-order time fractional nonlinear diffusion …
A computational method for solving variable-order fractional nonlinear diffusion-wave equation
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 …
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
The generalized Couette flow of Jeffrey nanofluid through porous medium, subjected to the
oscillating pressure gradient and mixed convection, is numerically simulated using variable …
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
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 …
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 …
dynamical systems involved with variable-order fractional derivatives in the Atangana …