Results 51 to 60 of about 1,382 (134)

Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations [PDF]

open access: yesAIP Conference Proceedings, 2017
The purpose of this paper is to study different kinds of stability for a class of Hammerstein integral equations. Sufficient conditions are derived in view to obtain Hyers-Ulam stability and Hyers-Ulam-Rassias stability for such a class of Hammerstein integral equations.
Simões, A. M., Castro, L. P.
openaire   +4 more sources

Ulam‐type stability of ψ− Hilfer fractional‐order integro‐differential equations with multiple variable delays

open access: yesAsian 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
wiley   +1 more source

Perturbation of One-Dimensional Time-Independent Schrödinger Equation with a Near-Hyperbolic Potential

open access: yesAxioms, 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
doaj   +1 more source

Hyers–Ulam stability of Sahoo–Riedel’s point

open access: yesApplied Mathematics Letters, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
W. Lee, S. Xu, F. Ye
openaire   +3 more sources

Radar Recognition Method Based on Signal Pre‐Trained Model of Satellite Borne Passive Detection Data

open access: yesIET 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

Ulam’s stability for some linear conformable fractional differential equations

open access: yesAdvances 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
doaj   +1 more source

On the Well‐Posedness and Stability Analysis of Nonlinear Fractional Integrodifferential Equations Subject to Integral Boundary Constraints

open access: yesAbstract and Applied Analysis, Volume 2026, Issue 1, 2026.
This article investigates the existence, uniqueness, and stability of solutions for a class of nonlinear fractional integrodifferential equations (NLFIDEs) with nonlocal boundary conditions in Banach algebras. By employing advanced analytical techniques within the Banach algebra framework, we rigorously establish existence and uniqueness results and ...
Yahia Awad   +4 more
wiley   +1 more source

On stability for nonlinear implicit fractional differential equations

open access: yesLe Matematiche, 2015
The purpose of this paper is to establish some  types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order ...
Mouffak Benchohra, Jamal E. Lazreg
doaj  

Note on the solution of random differential equations via ψ-Hilfer fractional derivative

open access: yesAdvances 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
doaj   +1 more source

Semi-Hyers–Ulam–Rassias Stability of the Convection Partial Differential Equation via Laplace Transform

open access: yesMathematics, 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
doaj   +1 more source

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