Results 21 to 30 of about 110,946 (303)
Advances in Differential Equations, 2021 In this paper, we consider a new coupled system of fractional boundary value problems based on the thermostat control model. With the help of fixed point theory, we investigate the existence criterion of the solution to the given coupled system.
S. Etemad +4 more
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Fixed Points and Generalized Hyers‐Ulam Stability [PDF]
Abstract and Applied Analysis, 2012 In this paper we prove a fixed‐point theorem for a class of operators with suitable properties, in very general conditions. Also, we show that some recent fixed‐points results in Brzdęk et al., (2011) and Brzdęk and Ciepliński (2011) can be obtained directly from our theorem. Moreover, an affirmative answer to the open problem of Brzdęk and Ciepliński
Cădariu, L. +2 more
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Generalized linear differential equation using Hyers-Ulam stability approach
AIMS Mathematics, 2021 In this paper, we study the Hyers-Ulam stability with respect to the linear differential condition of fourth order. Specifically, we treat ${\psi}$ as an interact arrangement of the differential condition, i.e., \begin{align*} {\psi}^{iv} ({\varkappa}) +
B. Unyong +7 more
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Advances in Difference Equations, 2021 In this paper, we investigate the existence and uniqueness of a solution for a class of ψ-Hilfer implicit fractional integro-differential equations with mixed nonlocal conditions.
Chatthai Thaiprayoon +2 more
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Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations [PDF]
AIP Conference Proceedings, 2017 The purpose of this paper is to study different kinds of stability for a class of Hammerstein integral equations. Sufficient conditions are derived in view to obtain Hyers-Ulam stability and Hyers-Ulam-Rassias stability for such a class of Hammerstein integral equations.
Simões, A. M., Castro, L. P.
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Periodic solutions and Hyers-Ulam stability of atmospheric Ekman flows
Discrete and Continuous Dynamical Systems. Series A, 2021 In this paper, we study the classical problem of the wind in the steady atmospheric Ekman layer with constant eddy viscosity. Different from the well-known homogeneous system in [ 14 , 20 ], we retain the turbulent fluxes and establish a new ...
Y. Guan, Michal Feckan, Jinrong Wang
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Boundary Value Problems, 2019 This paper deals with the existence of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order ...
Yuchen Guo, X. Shu, Yongjin Li, Fei Xu
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Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point Methods
Journal of Function Spaces, 2021 The Ulam-Hyers-Rassias stability for stochastic systems has been studied by many researchers using the Gronwall-type inequalities, but there is no research paper on the Ulam-Hyers-Rassias stability of stochastic functional differential equations via ...
Abdellatif Ben Makhlouf +2 more
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AIMS Mathematics, 2021 In this manuscript, a class of implicit impulsive Langevin equation with Hilfer fractional derivatives is considered. Using the techniques of nonlinear functional analysis, we establish appropriate conditions and results to discuss existence, uniqueness,
Xiaoming Wang +4 more
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Stability and Existence of Solutions for a Tripled Problem of Fractional Hybrid Delay Differential Equations [PDF]
, 2022 The purpose of this paper is to determine the existence of tripled fixed point results for the tripled symmetry system of fractional hybrid delay differential equations. We obtain results which support the existence of at least one solution to our system
De la Sen Parte, Manuel +4 more
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