Results 41 to 50 of about 1,535 (181)
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 521-530, 30 January 2026.ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang +2 more
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Ulam’s stability for some linear conformable fractional differential equations
Advances in Difference Equations, 2020 In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam–Hyers ...
Sen Wang, Wei Jiang, Jiale Sheng, Rui Li
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Results in Physics, 2022 This paper aims to establish conditions for the existence, uniqueness and Ulam–Hyers stability of solutions for a coupled system of pantograph problem with three sequential fractional derivatives.
Reny George +4 more
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Ulam-Hyers stabilities of fractional functional differential equations
AIMS Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Vanterler da C. Sousa +2 more
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Asian Journal of Control, Volume 28, Issue 1, Page 34-45, January 2026.Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
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Study of implicit delay fractional differential equations under anti-periodic boundary conditions
Advances in Difference Equations, 2020 This research work is related to studying a class of special type delay implicit fractional order differential equations under anti-periodic boundary conditions.
Arshad Ali +2 more
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Mathematics, 2021 In this paper, we study the semi-Hyers–Ulam–Rassias stability and the generalized semi-Hyers–Ulam–Rassias stability of some partial differential equations using Laplace transform. One of them is the convection partial differential equation.
Daniela Marian
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GENERALIZED ULAM -HYERS STABILITY OF DERIVATIONS OF A AQ - FUNCTIONAL EQUATION [PDF]
Cubo (Temuco), 2013 Let \(X\) be a Banach algebra, let \(j \in \{+1, -1\}\) and let \(f: X \to X\) be an odd mapping fulfilling \[ \|f(x + y) + f(x - y) - 2f(x) - f(y) - f(-y)\| \leq \alpha(x,y), \;x,y \in X \] and \[ \|f(x y) - f(x)y - xf(y)\| \leq \beta(x, y), \;x, y \in X, \tag{1} \] where \(\alpha, \beta: X^{2} \to [0, \infty)\) are such that the series \[ \sum_{n = 0}
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On Ulam–Hyers Stability for a System of Partial Differential Equations of First Order [PDF]
Symmetry, 2020 The aim of this paper is to investigate generalized Ulam–Hyers stability and generalized Ulam–Hyers–Rassias stability for a system of partial differential equations of first order. More precisely, we consider a system of two nonlinear equations of first order with an unknown function of two independent variables, which satisfy the corresponding ...
Daniela Marian +2 more
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Radar Recognition Method Based on Signal Pre‐Trained Model of Satellite Borne Passive Detection Data
IET Radar, Sonar &Navigation, Volume 20, Issue 1, January/December 2026.We propose a stable pretraining model based on generalised autoencoder, which can adapt to pulse sequence data with low dimensionality, high loss rate and false pulse interference conditions, improving the model's feature representation ability and downstream task performance.
Wenjuan Ren, Zhanpeng Yang, Guangzuo Li
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