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GENERALIZED HYERS-ULAM-RASSIAS STABILITY OF JORDAN (α, β) DERIVATIONS

, 2013
Lin Wang
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On the Hyers–Ulam–Rassias stability of functional equations in quasi–Banach spaces

, 2009
G. Zamani Eskandani, Hamid Vaezi, Fridoun Moradlou   +2 more
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Hyers–Ulam–Rassias stability of fractional delay differential equations with Caputo derivative

Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 13499-13509, December 2024.
This paper is devoted to the study of Hyers–Ulam–Rassias (HUR) stability of a nonlinear Caputo fractional delay differential equation (CFrDDE) with multiple variable time delays.
Chaimaa Benzarouala, C. Tunç
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HYERS–ULAM–RASSIAS STABILITY FOR NONAUTONOMOUS DYNAMICS

Rocky Mountain Journal of Mathematics
The authors study semilinear equations \begin{align*} x'&=A(t)x+f(t,x),\\ x_{n+1}&=A_nx_n+f_n(x_n) \end{align*} on the nonnegative half-line in a Banach space \(X\). Provided the linear part is uniformly exponentially stable, Hyers-Ulam-Rassias stability is established, if the (uniform) Lipschitz constant of the nonlinearity is small.
D. Dragičević, Nevena Jurčević Peček   +1 more
semanticscholar   +4 more sources

The Hyers–Ulam–Rassias stability of the pexiderized equations

Nonlinear Analysis: Theory, Methods & Applications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Park, Dal-Won, Lee, Yang-Hi
openaire   +2 more sources

A New Approach to the Hyers–Ulam–Rassias Stability of Differential Equations

Results in Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehdi Choubin, H. Javanshiri
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A new method for the generalized Hyers-Ulam-Rassias stability

, 2010
We propose a new method, called the textit{the weighted space method}, for the study of the generalized Hyers-Ulam-Rassias stability. We use this method for a nonlinear functional equation, for Volterra and Fredholm integral operators.
P. Gǎvruţa, L. Gǎvruţa
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Hyers-Ulam-Rassias Stability for Functional Equation in Neutrosophic Normed Spaces

International journal of neutrosophic science, 2022
In Neutrosophic Normed spaces, we investigate a unique quadratic function and a unique additive quadratic function of the Hyers-Ulam-Rassias stability for the functional equation which is said to be a functional equation associated with inner products ...
M. Jeyaraman, A. N. Mangayarkkarasi, V. .., R. Pandiselvi   +3 more
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Hyers - Ulam - Rassias Stability of Various Functional Equations in Non-Archimedean Neutrosophic Normed Spaces

International journal of neutrosophic science, 2023
In this paper, we introduce the notion of non- Archimedean neutrosophic normed space and also establish Hyers-Ulam-Rassias-type stability results concerning the Cauchy, Pexiderized Cauchy. We determine some stability results concerning the Cauchy, Jensen
R. Muthuraj, K. Nachammal, M. Jeyaraman
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Hyers-Ulam and Hyers-Ulam-Rassias Stability for a Class of Fractional Evolution Differential Equations with Neutral Time Delay

Symmetry
In this paper, we demonstrate that neutral fractional evolution equations with finite delay possess a stable mild solution. Our model incorporates a mixed fractional derivative that combines the Riemann–Liouville and Caputo fractional derivatives with ...
Kholoud N. Alharbi
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