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The Regularity and Uniqueness of a Global Solution to the Isentropic Navier-Stokes Equation with Rough Initial Data
A global weak solution to the isentropic Navier-Stokes equation with initial data around a constant state in the L 1 ∩ BV class was constructed in...
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A theoretical investigation of Caputo variable order fractional differential equations: existence, uniqueness, and stability analysis
This paper deals with the analysis of Caputo variable order fractional differential equations. The main objective of the paper is to investigate the...
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Uniqueness and stability of nonnegative solutions for a class of nonpositone problems in a ball
In this article, we study the uniqueness and stability of nonnegative solutions for a class of semilinear elliptic problems in a ball, when the...
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Existence, uniqueness and stability for a nonlinear problem arising from stratified arctic gyres
In this paper, we derive a nonlinear model for stratified arctic gyres, and prove several results on the existence, uniqueness and stability of...
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Existence, Uniqueness, and Stability Results for Tempered Fractional Integro-Differential Equations via Fixed Point Techniques
In this chapter, we consider the most important and problems used frequently in random walks and tempered fractional equation that describes the...
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Existence, uniqueness and Ulam stability results for a mixed-type fractional differential equations with p-Laplacian operator
In this paper, we study a nonlinear fractional p-Laplacian boundary value problem containing both left Riemann–Liouville and right Caputo fractional...
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Robust Stability of the Attractor of a Nonlinear Wave Equation Without Uniqueness of the Solution
We study the qualitative behavior of a nonlinear wave equation with nonsmooth interaction function subjected to the action of external bounded...
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On the existence, uniqueness, stability, and numerical aspects for a novel mathematical model of HIV/AIDS transmission by a fractal fractional order derivative
In this study, we explore a mathematical model of the transmission of HIV/AIDS. The model incorporates a fractal fractional order derivative with a...
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Piecewise conformable fractional impulsive differential system with delay: existence, uniqueness and Ulam stability
Ideally, the state variable follows a constant motion law over time. However, due to the finiteness of motion speed, almost all systems have time...
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The existence, uniqueness, and stability results for a nonlinear coupled system using ψ-Caputo fractional derivatives
In this article, we use coupled boundary conditions on a nonlinear system with ψ -Caputo fractional derivatives to derive new conclusions on the...
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Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation
In this article, we study the existence and uniqueness of a weak solution to the fractional single-phase lag heat equation. This model contains the...
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On the connection between uniqueness from samples and stability in Gabor phase retrieval
Gabor phase retrieval is the problem of reconstructing a signal from only the magnitudes of its Gabor transform. Previous findings suggest a possible...
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Local Existence and Uniqueness of Strong Solution to the Inhomogeneous Primitive Equations with Vacuum
In this paper, we establish the existence and uniqueness of the local strong solution to the Cauchy problem of the inhomogeneous incompressible...
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Existence, uniqueness and stability analysis of a tempered fractional order thermistor boundary value problems
In this paper, we derive the sufficient conditions for the existence, uniqueness and Hyers–Ulam stability of the tempered fractional order thermistor...
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Uniqueness of Solution to Systems of Elliptic Operators and Application to Asymptotic Synchronization of Linear Dissipative Systems II: Case of Multiple Feedback Dam**s
In this paper, the authors consider the asymptotic synchronization of a linear dissipative system with multiple feedback dam**s. They first show...
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Existence, uniqueness and stability of positive periodic solutions for an iterative Nicholson’s blowflies equation
The main motive and, at the same time, the goal of this work is to investigate a revisited Nicholson’s blowflies equation that involves a time...
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Stability Analysis, Existence and Uniqueness of Solutions for a Fractional Conformable p-Laplacian Coupled Boundary Value Problem on the Disilane Graph
Disilane is an important inorganic compound, which is widely used in many fields. This study first focuses on investigating the existence and...
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Uniqueness and uniform structural stability of Poiseuille flows with large fluxes in two-dimensional strips
In this paper, we prove the uniform nonlinear structural stability of Poiseuille flows with suitably large flux for the steady Navier–Stokes system...
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Uniqueness and Ulam–Hyers–Rassias stability results for sequential fractional pantograph q-differential equations
We study sequential fractional pantograph q -differential equations. We establish the uniqueness of solutions via Banach’s contraction map**...
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Existence, uniqueness, and exponential stability for the Kirchhoff equation in whole hyperbolic space
In this paper, we prove the existence, uniqueness, and exponential stability for a damped nonlinear wave equation of Kirchhoff type which is defined...