Advances in Continuous and Discrete Models
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Axisymmetric self-similar finite-time singularity solution of the Euler equations
Advances in Continuous and Discrete Models - Tập 2023 - Trang 1-15 - 2023
Self-similar finite-time singularity solutions of the axisymmetric Euler equations in an infinite system with a swirl are provided. Using the Elgindi approximation of the Biot–Savart kernel for the velocity in terms of vorticity, we show that an axisymmetric incompressible and inviscid flow presents a self-similar finite-time singularity of second specie, with a critical exponent ν. Contrary to th...... hiện toàn bộ
A computational method based on the generalized Lucas polynomials for fractional optimal control problems
Advances in Continuous and Discrete Models - Tập 2022 - Trang 1-29 - 2022
Nonorthogonal polynomials have many useful properties like being used as a basis for spectral methods, being generated in an easy way, having exponential rates of convergence, having fewer terms and reducing computational errors in comparison with some others, and producing most important basic polynomials. In this regard, this paper deals with a new indirect numerical method to solve fractional o...... hiện toàn bộ
Stability of thermoelastic Timoshenko beam with suspenders and time-varying feedback
Advances in Continuous and Discrete Models - Tập 2023 - Trang 1-19 - 2023
This paper considers a one-dimensional thermoelastic Timoshenko beam system with suspenders, general weak internal damping with time varying coefficient, and time-varying delay terms. Under suitable conditions on the nonlinear terms, we prove a general stability result for the beam model, where exponential and polynomial decay are special cases. We also gave some examples to illustrate our theoret...... hiện toàn bộ
Effects of greenhouse gases and hypoxia on the population of aquatic species: a fractional mathematical modelAbstract Study of ecosystems has always been an interesting topic in the view of real-world dynamics. In this paper, we propose a fractional-order nonlinear mathematical model to describe the prelude of deteriorating quality of water cause of greenhouse gases on the population of aquatic animals. In the proposed system, we recall that greenhouse gases raise the temp... ... hiện toàn bộ
Advances in Continuous and Discrete Models - Tập 2022 Số 1 - 2022
Euler equations for isentropic gas dynamics with general pressure law
Advances in Continuous and Discrete Models - Tập 2022 Số 1 - Trang 1-14 - 2022
In this work, we explore the limiting behavior of Riemann solutions to the Euler equations in isentropic gas dynamics with general pressure law. We demonstrate that in the distributional sense the delta wave of zero-pressure gas dynamics is formed by a limit solution. Finally, to present the concentration phenomena, we also offer some numerical outcomes.
A delayed plant disease model with Caputo fractional derivatives
Advances in Continuous and Discrete Models - Tập 2022 - Trang 1-22 - 2022
We analyze a time-delay Caputo-type fractional mathematical model containing the infection rate of Beddington–DeAngelis functional response to study the structure of a vector-borne plant epidemic. We prove the unique global solution existence for the given delay mathematical model by using fixed point results. We use the Adams–Bashforth–Moulton P-C algorithm for solving the given dynamical model. ...... hiện toàn bộ
Mittag–Leffler stability, control, and synchronization for chaotic generalized fractional-order systemsAbstract In this paper, we investigate the generalized fractional system (GFS) with order lying in $(1, 2)$
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Advances in Continuous and Discrete Models - Tập 2022 Số 1
Forward invariant set preservation in discrete dynamical systems and numerical schemes for ODEs: application in biosciences
Advances in Continuous and Discrete Models - Tập 2023 - Trang 1-22 - 2023
We present two results on the analysis of discrete dynamical systems and finite difference discretizations of continuous dynamical systems, which preserve their dynamics and essential properties. The first result provides a sufficient condition for forward invariance of a set under discrete dynamical systems of specific type, namely time-reversible ones. The condition involves only the boundary of...... hiện toàn bộ
Analysis of a stochastic predator–prey system with fear effect and Lévy noise
Advances in Continuous and Discrete Models - Tập 2022 - Trang 1-24 - 2022
This paper studies a stochastic predator–prey model with Beddington–DeAngelis functional response, fear effect, and Lévy noise, where the fear is of prey induced by predator. First, we use Itô’s formula to prove the existence and uniqueness of a global positive solution and its moment boundedness. Next, sufficient conditions for the persistence and extinction of both species are given. We further ...... hiện toàn bộ
Investigation of a time-fractional COVID-19 mathematical model with singular kernel
Advances in Continuous and Discrete Models - Tập 2022 - Trang 1-19 - 2022
We investigate the fractional dynamics of a coronavirus mathematical model under a Caputo derivative. The Laplace–Adomian decomposition and Homotopy perturbation techniques are applied to attain the approximate series solutions of the considered system. The existence and uniqueness solution of the system are presented by using the Banach fixed-point theorem. Ulam–Hyers-type stability is investigat...... hiện toàn bộ
Tổng số: 83
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