Results 191 to 200 of about 3,088,117 (225)

Existence, controllability and Hyers–Ulam stability of a hybrid neutral switched system with impulsive effects

International Journal of Systems Science, 2023
In this study, our main focus is on the analysis of the existence, controllability, and Hyers–Ulam stability of a neutral switched system with impulsive effects on non-uniform time domains. First, we use the Banach fixed point theorem and the time scales
B. Kumar, Muslim Malik
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Hyers–Ulam stability for boundary value problem of fractional differential equations with κ‐Caputo fractional derivative

Mathematical methods in the applied sciences, 2022
The purpose of this paper is to discuss basic results of boundary value problems of fractional differential equations (BVP‐FDEs) via the concept of Caputo fractional derivative with respect to another function with the order α∈(1,2) .
H. Vu, J. Rassias, N. Hoa
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Hyers–Ulam stability for linear quaternion-valued differential equations with constant coefficient

Rocky Mountain Journal of Mathematics, 2022
In this paper, we study Hyers-Ulam stability for linear differential equations in the sense of quaternionvalued framework. This shows that Laplace transformation is also valid for finding the approximate solution for linear quaternion-valued differential
Dan Chen, Michal Feckan, Jinrong Wang
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Ulam stability for nonlinear-Langevin fractional differential equations involving two fractional orders in the ψ-Caputo sense

Applicable Analysis, 2021
The main aim of this paper is to prove the Ulam–Hyers stability of solutions for a new form of nonlinear fractional Langevin differential equations involving two fractional orders in the ψ-Caputo sense.
Z. Baitiche, C. Derbazi, M. Matar
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Generalized Dichotomies and Hyers–Ulam Stability

Results in Mathematics, 2023
Consider \[ x^\prime=A(t)x+f(t,x),\,t\geq 0,\tag{1} \] where \(A:\mathbb{R}_+\to \mathbb{R}^{n\times n}\) and \(f:\mathbb{R}_+\times \mathbb{R}^n\to \mathbb{R}^n\) are continuous mappings. It is known that if the corresponding linear differential equation \(x^\prime=A(t)x\) has a uniform exponential dichotomy and \(f(t,x)\) is Lipschitz in \(x ...
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On Ulam Stability of an Operatorial Equation

Mediterranean Journal of Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Delia-Maria Kerekes, Dorian Popa
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The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm

, 2020
The article is devoted to the existence and Hyers-Ulam stability of the almost periodic solution to the fractional differential equation with impulse and fractional Brownian motion under nonlocal condition.
Yuchen Guo, Mengqi Chen, X. Shu, Fei Xu
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Hyers–Ulam Stability of Fractal–Fractional Computer Virus Models with the Atangana–Baleanu Operator

Fractal and Fractional
The purpose of this paper is to propose a fractal–fractional-order for computer virus propagation dynamics, in accordance with the Atangana–Baleanu operator.
Mohammed Althubyani, Sayed Saber
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Existence and Hyers-Ulam stability results for a class of fractional order delay differential equations with non-instantaneous impulses

, 2020
In this paper, we mainly consider the existence and Hyers-Ulam stability of solutions for a class of fractional differential equations involving time-varying delays and non-instantaneous impulses.
Danfeng Luo, Zhiguo Luo
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Ulam Stability Problem for Frames

2011
In this paper we give a solution to the Ulam stability problem for continuous Parseval frames in finite dimensional Hilbert spaces. We prove that if F is a nearly Parseval frame then there exists a Parseval frame near F. Also, we give generalizations of this result.
Laura Găvruţa, Paşc Găvruţa
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