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Existence and uniqueness for the limiting evolution

Existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded interval

Existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded interval

... Abstract By means of a Laplace transform and its inverse transform, we obtain a correct equivalent integral equation for some kind of nonlocal abstract differential equations (fractional order) on the right half-axis. ...

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Existence and uniqueness of mild solutions for a class of nonlinear fractional evolution equation

Existence and uniqueness of mild solutions for a class of nonlinear fractional evolution equation

... derivative; evolution equation; Riemann-Liouville integral; existence; uniqueness 1 Introduction The nonlinear fractional evolution equation is a general form for fractional ordinary dif- ...

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EXISTENCE AND UNIQUENESS OF THE SOLUTION OF THE COUPLED

EXISTENCE AND UNIQUENESS OF THE SOLUTION OF THE COUPLED

... of existence and uniqueness of weak solution for this ...The existence of weak solution will be proved by showing that our problem is pseudomonotone and ...

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Existence and uniqueness of mild solutions to initial value problems for fractional evolution equations

Existence and uniqueness of mild solutions to initial value problems for fractional evolution equations

... the existence and uniqueness of mild solution to ...the uniqueness result for a mild solution is obtained when f satisfies a condition weaker than Lipschitz ...

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Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval

Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval

... fractional evolution equations, which is different from those obtained in the existing literature, the paper investigates a class of fractional evolution equations with nonlocal conditions on infinite ...the ...

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Existence and uniqueness result for a fluid-structure-interaction evolution problem in an unbounded 2D channel

Existence and uniqueness result for a fluid-structure-interaction evolution problem in an unbounded 2D channel

... Existence and uniqueness result for a fluid-structure-interaction evolution problem in an unbounded 2D channel Preprint, 2021.... Moreover the energy of (u, h) is bounded...[r] ...

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A note on the existence and uniqueness of the solutions to SFDES

A note on the existence and uniqueness of the solutions to SFDES

... The integral inequalities of Gronwall type have been applied in the theory of SDEs to prove the results on existence, uniqueness, and stability etc. [10,13-16]. Naturally, Gronwall ’ s inequality will play ...

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Existence and uniqueness theory for MHD systems

Existence and uniqueness theory for MHD systems

... are Banach spaces). Furthermore, it is not clear which sense of strong convergence would be required to guarantee convergence of the nonlinear terms. Most urgently, however, it remains to prove that the solution whose ...

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Existence and Uniqueness of Proper Scoring Rules

Existence and Uniqueness of Proper Scoring Rules

... the existence and uniqueness of proper scoring rules one needs to extend the associated entropy functions as sublinear functions to the conic hull of the prediction ...characterisation, existence, ...

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Existence, Uniqueness and Stability of Neutral Stochastic Functional Integro differential Evolution Equations with Infinite Delay

Existence, Uniqueness and Stability of Neutral Stochastic Functional Integro differential Evolution Equations with Infinite Delay

... on existence, uniqueness and sta- bility of mild solutions to neutral stochastic functional evolu- tion integro-differential equations with non-Lipschitz condition and Lipschitz ...The existence of ...

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A Criterion on Existence and Uniqueness of Behavior in Electric Circuit

A Criterion on Existence and Uniqueness of Behavior in Electric Circuit

... Behavior of electric circuits can be observed by solving circuit equations symbolically as well as numerically. In general, symbolic computation for circuits with certain number of circuit elements needs much more time ...

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On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix

On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix

... the Existence and Uniqueness of the Eigenvalue Decomposition of a Parahermitian Matrix Stephan Weiss , Senior Member, IEEE, Jennifer Pestana , and Ian ...the existence and unique- ness of eigenvalues ...

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Existence and uniqueness of solutions of Hahn difference equations

Existence and uniqueness of solutions of Hahn difference equations

... In this paper, we present new results of the calculus based on the Hahn difference operator. Also, we establish an existence and uniqueness result of solutions of Hahn difference equations by using the method ...

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Existence and uniqueness of solutions for a semilinear elliptic system

Existence and uniqueness of solutions for a semilinear elliptic system

... A SEMILINEAR ELLIPTIC SYSTEM ROBERT DALMASSO Received 23 February 2005 and in revised form 4 May 2005 We consider the existence, the nonexistence, and the uniqueness of solutions of some special systems of ...

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Existence and uniqueness of collocating algebraic function approximations

Existence and uniqueness of collocating algebraic function approximations

... No. 58 October, 1990. Abstract The problem of approximating a real-valued function by an algebraic function, where the approximation is determined by collocation at a sufficient number of distinct nodes, is considered. ...

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Existence and Uniqueness of Solutions for Stochastic Differential Equations

Existence and Uniqueness of Solutions for Stochastic Differential Equations

... The structure of the proof presented here is mainly adapted from [21], [30] and [31], a traditional approach first pioneered by Itô himself [15] in the 1940’s. An alternative proof using the Banach Fixed Point Theorem ...

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The existence and uniqueness theorems of fuzzy delay differential equations

The existence and uniqueness theorems of fuzzy delay differential equations

... ABSTRACT Delay differential equations (DDEs) arise many different phenomena including in physics, biology and chemistry. In many cases of the modeling of real world problems, information about the behaviour of a ...

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Existence and Uniqueness of the Navier-Stokes Problem for Compressible Flows

Existence and Uniqueness of the Navier-Stokes Problem for Compressible Flows

... global existence, uniqueness and smoothness of the Navier-Stokes problem for compressible ...of existence of solution given in [3] by using the energy conservation law for the external and internal ...

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Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations

Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations

... global existence and uniqueness of strong solutions of problem ...the existence and regularity questions more difficult than the usual case that the initial density ρ 0 has a positive lower ...global ...

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Existence and uniqueness of positive solutions for fractional differential equations

Existence and uniqueness of positive solutions for fractional differential equations

... Keywords: Fixed point theorem; Henry–Gronwall integral inequality; Fractional differential equation; Fractional derivative 1 Introduction Fractional differential equations have gained considerable importance due to their ...

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