Results 51 to 60 of about 2,275,004 (213)
Mathematics, 2019 We discuss the existence and uniqueness of solutions for a Caputo-type fractional order boundary value problem equipped with non-conjugate Riemann-Stieltjes integro-multipoint boundary conditions on an arbitrary domain.
Bashir Ahmad +3 more
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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
wiley +1 more source
Hyers-Ulam and Hyers-Ulam-Aoki-Rassias Stability for Linear Ordinary Differential Equations [PDF]
, 2015 Here we prove the Hyers-Ulam stability and Hyers-Ulam-Aoki-Rassias stability of the n-th order ordinary linear differential equation with smooth coefficients on compact and semi-bounded intervals using successive integration by parts ...
Mohapatra, A. N.
core +1 more source
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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Axioms, 2022 The authors have recently investigated a type of Hyers–Ulam stability of one-dimensional time-independent Schrödinger equation with a symmetric parabolic potential wall.
Byungbae Kim, Soon-Mo Jung
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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}
openaire +3 more sources
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
wiley +1 more source
Note on the solution of random differential equations via ψ-Hilfer fractional derivative
Advances in Difference Equations, 2018 This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ-Hilfer fractional derivative.
S. Harikrishnan +3 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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On applications of Ulam-Hyers stability in biology and economics
, 2010 6 pages, 0 ...
Ahmed, E. +3 more
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