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876 Result(s)
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Article
Open AccessGlobal dynamics of a diffusive competitive Lotka–Volterra model with advection term and more general nonlinear boundary condition
We investigate a competitive diffusion–advection Lotka–Volterra model with more general nonlinear boundary condition. Based on some new ideas, techniques, and the theory of the principal spectral and monotone ...
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Article
On the characterization of harmonic functions with initial data in Morrey space
Let (X, d, μ) be a metric measure space satisfying the doubling condition and an L2-Poincaré inequality. Consider the nonnegative operator $$\...
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Open AccessDynamical behaviors of a stochastic SIRV epidemic model with the Ornstein–Uhlenbeck process
Vaccination is an important tool in disease control to suppress disease, and vaccine-influenced diseases no longer conform to the general pattern of transmission. In this paper, by assuming that the infection ...
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Article
Run-length function of the Bolyai-Rényi expansion of real numbers
By iterating the Bolyai-Rényi transformation T(x) = (x + 1)2 (mod 1), almost every real number x ∈ [0, 1) can be expanded as a continued radical expression
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Article
Hall algebras of two equivalent extriangulated categories
For any positive integer n, let An be a linearly oriented quiver of type A with n vertices. It is well-known that the quotient of an exact category by projective-injectives is an extriangulated category. We show ...
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Article
Global classical solutions in a self-consistent chemotaxis(-Navier)-Stokes system
The self-consistent chemotaxis-fluid system $$\left\{ {\matrix{{{n_t} + u \cdot \nabla n = \Delta n - \nabla \cdot (n\nabla c) + \nabla \cdot ...
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Open AccessExistence and multiplicity of solutions for fractional \(p_{1}(x,\cdot )\& p_{2}(x,\cdot )\) -Laplacian Schrödinger-type equations with Robin boundary conditions
In this paper, we study fractional p 1 ( ...
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Open AccessCaputo fractional backward stochastic differential equations driven by fractional Brownian motion with delayed generator
Over the years, the research of backward stochastic differential equations (BSDEs) has come a long way. As a extension of the BSDEs, the BSDEs with time delay have played a major role in the stochastic optimal...
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Open AccessDynamical analysis of a novel fractional order SIDARTHE epidemic model of COVID-19 with the Caputo–Fabrizio(CF) derivative
Fabrizio and Caputo suggested an extraordinary definition of fractional derivative, which has been used in many fields. The SIDARTHE infectious disease model with regard to COVID-19 is studied by the new notio...
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Open AccessNew type of the unique continuation property for a fractional diffusion equation and an inverse source problem
In this work, a new type of the unique continuation property for time-fractional diffusion equations is studied. The proof is mainly based on the Laplace transform and the properties of Bessel functions. As an...
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Article
Open AccessExistence and uniqueness of solutions for multi-order fractional differential equations with integral boundary conditions
In this paper, we consider the existence and uniqueness of solutions for the following nonlinear multi-order fractional differential equation with integral boundary conditions
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Article
Open AccessExtinction behavior and recurrence of n-type Markov branching–immigration processes
In this paper, we consider n-type Markov branching–immigration processes. The uniqueness criterion is first established. Then, we construct a related system of differential equations based on the branching proper...
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Article
A class of quantum doubles of pointed Hopf algebras of rank one
We construct a class of quantum doubles \(D({H_{{D_n}}})\) D ( ...
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Article
Open AccessRiemann problem for a \(2\times 2\) hyperbolic system with time-gradually-degenerate dam**
This paper is focused on the Riemann problem for a 2 × 2 ...
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Article
Open AccessConservative Fourier spectral method for a class of modified Zakharov system with high-order space fractional quantum correction
In this paper, we consider the Fourier spectral method and numerical investigation for a class of modified Zakharov system with high-order space fractional quantum correction. First, the numerical scheme of th...
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Open AccessRemarks on a fractional nonlinear partial integro-differential equation via the new generalized multivariate Mittag-Leffler function
Introducing a new generalized multivariate Mittag-Leffler function which is a generalization of the multivariate Mittag-Leffler function, we derive a sufficient condition for the uniqueness of solutions to a b...
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Article
A new approach to antisymmetric infinitesimal bialgebras
We present a notion of an anti-covariant bialgebra extending the anti-symmetric infinitesimal bialgebra and also provide some equivalent characterizations of it. We also prove that an anti-associative Yang-Bax...
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Article
Annihilator ideals of finite dimensional simple modules of two-parameter quantized envelo** algebra \({U_{r,s}}({\mathfrak{s}\mathfrak{l}_2})\)
Let U be the two-parameter quantized envelo** algebra \({U_{r,s}}({\mathfrak{s}\mathfrak{l}_2})\) ...
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Article
Open AccessBifurcation mechanism and hybrid control strategy of a finance model with delays
Establishing financial models or economic models to describe economic phenomena in real life has become a heated discussion in society at present. From a mathematical point of view, the exploration on dynamics...
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Article
Open AccessGlobal regularity of 2D MHD equations with almost Laplacian velocity dissipation
We obtain the global existence and global regularity for the 2D MHD equations with almost Laplacian velocity dissipation, which require the dissipative operators weaker than any power of the fractional Laplaci...