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Prescribed Performance Tracking Control of Lower-Triangular Systems with Unknown Fractional Powers.
Publication Type: Academic Journal
Source(s): Fractal & Fractional. Aug2023, Vol. 7 Issue 8, p594. 16p.
Abstract: This paper is concerned with the tracking control problem for the lower-triangular systems with unknown fractional powers and nonparametric uncertainties. A prescribed performance control approach is put forward as a means of resolving this problem. Th...
On the Study of Pseudo -Asymptotically Periodic Mild Solutions for a Class of Neutral Fractional Delayed Evolution Equations.
Publication Type: Academic Journal
Source(s): Axioms (2075-1680). Aug2023, Vol. 12 Issue 8, p800. 25p.
Abstract: The goal of this paper is to investigate the existence and uniqueness of pseudo S -asymptotically periodic mild solutions for a class of neutral fractional evolution equations with finite delay. We essentially use the fractional powers of closed linear...
The Analytic Solutions of the Fractional-Order Model for the Spatial Epidemiology of the COVID-19 Infection.
Publication Type: Academic Journal
Source(s): Advances in Mathematical Physics. 5/4/2023, p1-19. 19p.
Abstract: This paper provides a mathematical fractional-order model that accounts for the mindset of patients in the transmission of COVID-19 disease, the continuous inflow of foreigners into the country, immunization of population subjects, and temporary loss o...
Parameter Determination of the 2S2P1D Model and Havriliak–Negami Model Based on the Genetic Algorithm and Levenberg–Marquardt Optimization Algorithm.
Publication Type: Academic Journal
Source(s): Polymers (20734360). Jun2023, Vol. 15 Issue 11, p2540. 22p.
Abstract: This study utilizes the genetic algorithm (GA) and Levenberg–Marquardt (L–M) algorithm to optimize the parameter acquisition process for two commonly used viscoelastic models: 2S2P1D and Havriliak–Negami (H–N). The effects of the various combinations o...
A Novel Solution Approach for Time-Fractional Hyperbolic Telegraph Differential Equation with Caputo Time Differentiation.
Publication Type: Academic Journal
Source(s): Mathematics (2227-7390). May2023, Vol. 11 Issue 9, p2181. 19p.
Abstract: In the current analysis, a specific efficient and applicable novel solution approach, based on a fractional power series technique and Laplace transform operator, is considered to predict certain accurate approximate solutions (ASs) for a time-fraction...
Numerical Simulation of a Space-Fractional Molecular Beam Epitaxy Model without Slope Selection.
Publication Type: Academic Journal
Source(s): Fractal & Fractional. Jul2023, Vol. 7 Issue 7, p558. 12p.
Abstract: In this paper, we introduce a space-fractional version of the molecular beam epitaxy (MBE) model without slope selection to describe super-diffusion in the model. Compared to the classical MBE equation, the spatial discretization is an important issue ...
Optimized Fractional Maximum Power Point Tracking Using Bald Eagle Search for Thermoelectric Generation System.
Publication Type: Academic Journal
Source(s): Energies (19961073). May2023, Vol. 16 Issue 10, p4064. 15p.
Abstract: The amount of energy that a thermoelectric generator (TEG) is capable of harvesting mainly depends on the temperature difference between the hot and cold sides of the TEG. To ensure that the TEG operates efficiently under any condition or temperature v...
Quasilinear Fractional Order Equations and Fractional Powers of Sectorial Operators.
Publication Type: Academic Journal
Source(s): Fractal & Fractional. May2023, Vol. 7 Issue 5, p385. 15p.
Abstract: The fractional powers of generators for analytic operator semigroups are used for the proof of the existence and uniqueness of a solution of the Cauchy problem to a first order semilinear equation in a Banach space. Here, we use an analogous constructi...
Stability of the 3D MHD equations without vertical dissipation near an equilibrium.
Publication Type: Academic Journal
Source(s): AIMS Mathematics (2473-6988). 2023, Vol. 8 Issue 5, p12143-12167. 25p.
Abstract: Important progress has been made on the standard Laplacian case with mixed partial dissipation and diffusion. The stability problem of the 3D incompressible magnetohydrodynamic (MHD) equations without vertical dissipation but with the fractional veloci...
On Construction of Partially Dimension-Reduced Approximations for Nonstationary Nonlocal Problems of a Parabolic Type.
Publication Type: Academic Journal
Source(s): Mathematics (2227-7390). May2023, Vol. 11 Issue 9, p1984. 18p.
Abstract: The main aim of this article is to propose an adaptive method to solve multidimensional parabolic problems with fractional power elliptic operators. The adaptivity technique is based on a very efficient method when the multidimensional problem is appro...