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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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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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Advances in Difference Equations, 2020 Solutions to fractional differential equations is an emerging part of current research, since such equations appear in different applied fields. A study of existence, uniqueness, and stability of solutions to a coupled system of fractional differential ...
Danfeng Luo +3 more
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On the Hyers-Ulam Stability of Linear Mappings
Journal of Mathematical Analysis and Applications, 1993 Let \(H\) be a monotonically increasing symmetric homogeneous function of degree \(p\), where \(p\in (0,\infty)\backslash\{1\}\). Let \(f\) be a mapping from a real normed space \(X\) into a real Banach space \(Y\). Assume that \[ \| f(x+ y)- f(x)- f(y)\|\leq H(\| x\| \| y\|)\quad \forall x,\;y\in X. \] The authors proved that \[ T(x)=\lim_{n\to\infty}
Themistocles M. Rassias, Peter Šemrl
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Advances in Difference Equations, 2019 In this article, we investigate the existence and uniqueness of solutions for conformable derivatives in the Caputo setting with four-point integral conditions, applying standard fixed point theorems such as Banach contraction mapping principle ...
Aphirak Aphithana +2 more
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Controllability and Hyers–Ulam Stability of Differential Systems with Pure Delay
Mathematics, 2022 Dynamic systems of linear and nonlinear differential equations with pure delay are considered in this study. As an application, the representation of solutions of these systems with the help of their delayed Mittag–Leffler matrix functions is used to ...
Ahmed M. Elshenhab, Xingtao Wang
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Hyers-Ulam and Hyers-Ulam-Rassias Stability for a Class of Integro-Differential Equations [PDF]
, 2018 We analyse different kinds of stabilities for a class of very general nonlinear integro-differential equations of Volterra type within appropriate metric spaces. Sufficient conditions are obtained in view to guarantee Hyers-Ulam stability and Hyers-Ulam-Rassias stability for such a class of integro-differential equations. We will consider the different
Castro, L. P., Simões, A. M.
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AIMS Mathematics, 2021 In this paper, we discuss the existence, uniqueness and stability of boundary value problems for $\psi$-Hilfer fractional integro-differential equations with mixed nonlocal (multi-point, fractional derivative multi-order and fractional integral ...
Weerawat Sudsutad +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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