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Existence and Uniqueness of Solution for a Class of Stochastic Differential Equations [PDF]
The Scientific World Journal, 2013 A class of stochastic differential equations given by dx(t)=f(x(t))dt+g(x(t))dW(t), x(t0)=x0, t0≤t ...
Junfei Cao, Zaitang Huang, Caibin Zeng
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Mathematics, 2023 Herein, we mainly employ the fixed point theorem and Lax-Milgram theorem in functional analysis to prove the existence and uniqueness of generalized and mixed finite element (MFE) solutions for two-dimensional steady Boussinesq equation.
Zhendong Luo +3 more
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On the analytical and numerical study for fractional q-integrodifferential equations
Boundary Value Problems, 2022 In this paper, we give some basic concepts of q-calculus that will be needed in this paper. Then, we built the q-nonlocal condition that ensures the solution existence and uniqueness of the fractional q-integrodifferential equation.
Amira Abd-Elall Ibrahim +3 more
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Nonlinear Analysis, 2023 This study examines the existence and uniqueness of the solution to the coupled system of the ψ-Hilfer nonlinear implicit fractional multipoint boundary value problem.
Muthukrishnan Latha Maheswari +2 more
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Existence and Uniqueness Solution of Fractional Order Regge Problem
JOURNAL OF UNIVERSITY OF BABYLON for Pure and Applied Sciences, 2022 In this paper, we look into a group of fractional boundary value problem equations involving fractional derivative fractional orders and there are two boundary value criteria in this equation.
H. Hilmi, K. Jwamer
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Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations
Advances in Difference Equations, 2010 We study the existence and uniqueness of mild solution of a class of nonlinear fractional integrodifferential equations dqu(t)/dtq+Au(t)=f(t,u(t))+∫0ta(t−s)g(s,u(s))ds, t∈[0,T], u(0)=u0, in a Banach space X, where 0<q<1.
Fang Li +1 more
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Existence and uniqueness of solution of first order nonlinear difference equation
Journal of Mathematics and Computer Science, 2020 This paper is devoted to obtaining the existence and uniqueness result of nonhomogeneous first order nonlinear difference equation with nonlocal condition in cone metric space. Banach contraction principle is used to prove the results.
G. Done, K. L. Bondar, P. Chopade
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Journal of Inequalities and Applications, 2023 This article addresses the existence and uniqueness of solution for fully fourth-order differential equations modeling beams on elastic foundations with nonlinear boundary conditions.
Huiling Chen, Yujun Cui
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Existence, uniqueness and monotonic behavior of the solution of classical flow distribution problem for hydraulic networks with pressure-dependent closure relations [PDF]
E3S Web of Conferences, 2019 Existence, uniqueness and monotonic behavior of the solution of classical flow distribution problem for hydraulic networks with pressure-dependent closure relations was proved.
Korelstein Leonid
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European Journal of Pure and Applied Mathematics, 2022 In this paper, the existence and uniqueness of solutions of fractional integro-differential equations with nonlocal boundary conditions is investigated. We establish the existence of solution via Krasnoselskii fixed point theorem; however, the uniqueness
M. Mardanov, Y. Sharifov, H. Aliyev
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