Results 11 to 20 of about 8,350 (261)
AIMS Mathematics, 2023 The objective of this article is to investigate a coupled implicit Caputo fractional $ p $-Laplacian system, depending on boundary conditions of integral type, by the substitution method.
Dongming Nie +3 more
doaj +1 more source
Aboodh transform and the stability of second order linear differential equations
Advances in Difference Equations, 2021 In this paper, we introduce a new integral transform, namely Aboodh transform, and we apply the transform to investigate the Hyers–Ulam stability, Hyers–Ulam–Rassias stability, Mittag-Leffler–Hyers–Ulam stability, and Mittag-Leffler–Hyers–Ulam–Rassias ...
Ramdoss Murali +3 more
doaj +1 more source
Advances in Differential Equations, 2021 In this paper, we consider a new coupled system of fractional boundary value problems based on the thermostat control model. With the help of fixed point theory, we investigate the existence criterion of the solution to the given coupled system.
S. Etemad +4 more
semanticscholar +1 more source
Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2018 This paper considers Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations. We establish sufficient conditions of Hyers-Ulam-Rassias stability and Hyers-Ulam stability for linear and semi-linear systems of differential
Maher Qarawani
doaj +1 more source
Hyers--Ulam stability of a polynomial equation [PDF]
Banach Journal of Mathematical Analysis, 2009 The aim of this paper is to prove the stability in the sense of Hyers-Ulam stability of a polynomial equation. More precisely, if x is an approximate solution of the equation x n + x + = 0, then there exists an exact solution of the equation near to x.
Li, Yongjin, Hua, Liubin
openaire +2 more sources
Advances in Difference Equations, 2021 In this paper, we investigate the existence and uniqueness of a solution for a class of ψ-Hilfer implicit fractional integro-differential equations with mixed nonlocal conditions.
Chatthai Thaiprayoon +2 more
doaj +1 more source
Hyers–Ulam Stability for Differential Systems with $$2\times 2$$ 2 × 2 Constant Coefficient Matrix [PDF]
Results in Mathematics, 2022 We explore the Hyers–Ulam stability of perturbations for a homogeneous linear differential system with $$2\times 2$$ 2 × 2 constant coefficient matrix. New necessary and sufficient conditions for the linear system to be Hyers–Ulam stable are proven, and ...
D. Anderson, M. Onitsuka
semanticscholar +1 more source
Fixed Points and Generalized Hyers‐Ulam Stability [PDF]
Abstract and Applied Analysis, 2012 In this paper we prove a fixed‐point theorem for a class of operators with suitable properties, in very general conditions. Also, we show that some recent fixed‐points results in Brzdęk et al., (2011) and Brzdęk and Ciepliński (2011) can be obtained directly from our theorem. Moreover, an affirmative answer to the open problem of Brzdęk and Ciepliński
Cădariu, L. +2 more
openaire +3 more sources
Generalized linear differential equation using Hyers-Ulam stability approach
AIMS Mathematics, 2021 In this paper, we study the Hyers-Ulam stability with respect to the linear differential condition of fourth order. Specifically, we treat ${\psi}$ as an interact arrangement of the differential condition, i.e., \begin{align*} {\psi}^{iv} ({\varkappa}) +
B. Unyong +7 more
semanticscholar +1 more source
Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations [PDF]
AIP 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