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1,651 Result(s)
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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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Article
Flocking of a thermodynamic Cucker-Smale model with local velocity interactions
In this paper, we study the flocking behavior of a thermodynamic Cucker–Smale model with local velocity interactions. Using the spectral gap of a connected stochastic matrix, together with an elaborate estimat...
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The absence of singular continuous spectrum for perturbed Jacobi operators
This paper is mainly about the spectral properties of a class of Jacobi operators $$({H_{c,b}}u)(n) = {c_n}u(n + 1) + {c_{n - 1}}u(n - 1) + {b...
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From wave functions to tau-functions for the Volterra lattice hierarchy
For an arbitrary solution to the Volterra lattice hierarchy, the logarithmic derivatives of the tau-function of the solution can be computed by the matrix-resolvent method. In this paper, we define a pair of w...
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The sparse representation related with fractional heat equations
This study introduces a pre-orthogonal adaptive Fourier decomposition (POAFD) to obtain approximations and numerical solutions to the fractional Laplacian initial value problem and the extension problem of Caf...
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On recognition of the direct squares of the simple groups with abelian Sylow 2-subgroups
The spectrum of a group is the set of orders of its elements. Finite groups with the same spectra as the direct squares of the finite simple groups with abelian Sylow 2-subgroups are considered. It is proved t...
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Property \(\mathcal {P}\) and Compact Perturbations
Let \(\mathcal {H}\) H be a complex separable infinite dimensional Hilbert ...
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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 AccessA matrix acting between Fock spaces
If H ν = ...
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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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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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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
Cauchy type integrals and a boundary value problem in a complex Clifford analysis
Clifford analysis is an important branch of modern analysis; it has a very important theoretical significance and application value, and its conclusions can be applied to the Maxwell equation, Yang-Mill field ...
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Entire solutions of higher order differential equations with entire coefficients having the same order
In this paper, we consider entire solutions of higher order homogeneous differential equations with the entire coefficients having the same order, and prove that the entire solutions are of infinite lower orde...
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Global solutions to 1D compressible Navier-Stokes/Allen-Cahn system with density-dependent viscosity and free-boundary
This paper is concerned with the Navier-Stokes/Allen-Cahn system, which is used to model the dynamics of immiscible two-phase flows. We consider a 1D free boundary problem and assume that the viscosity coeffic...
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Finite groups with two kernels of nonlinear irreducible characters
In this paper, we consider finite groups with few kernels of nonlinear irreducible characters and classify finite solvable groups with two kernels of nonlinear irreducible characters. Nonsolvable groups with t...
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Bernoullicity of lopsided principal algebraic actions
We show that the principal algebraic actions of countably infinite groups associated to lopsided elements in the integral group ring satisfying some orderability condition are Bernoulli.
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A note on Thompson problem
In this paper, we prove that if two finite groups G and H have isomorphic Burnside rings, then G and H are the same order type groups, and give an example to show that the Burnside rings of the same order type gr...
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Open AccessRadial solutions of p-Laplace equations with nonlinear gradient terms on exterior domains
This paper studies the existence of radial solutions of the boundary value problem of p-Laplace equation with gradient term ...
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Weak-Type Regularity of the Bergman Projection on n-Dimensional Hartogs Triangles
In this paper, we research the weak-type regularity of the Bergman projection for n-dimensional generalized Hartogs triangles. The weak-type regularity of the Bergman projection of 2-dimensional Hartogs triangles...