Results 21 to 30 of about 814 (188)
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
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
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
Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point Methods
Journal of Function Spaces, 2021 The Ulam-Hyers-Rassias stability for stochastic systems has been studied by many researchers using the Gronwall-type inequalities, but there is no research paper on the Ulam-Hyers-Rassias stability of stochastic functional differential equations via ...
Abdellatif Ben Makhlouf +2 more
doaj +1 more source
Practical Ulam-Hyers-Rassias stability for nonlinear equations [PDF]
Mathematica Bohemica, 2017 In this paper, we offer a new stability concept, practical Ulam-Hyers-Rassias stability, for nonlinear equations in Banach spaces, which consists in a restriction of Ulam-Hyers-Rassias stability to bounded subsets.
Jin Rong Wang, Michal Fečkan
doaj +1 more source
AIMS Mathematics, 2021 In this manuscript, a class of implicit impulsive Langevin equation with Hilfer fractional derivatives is considered. Using the techniques of nonlinear functional analysis, we establish appropriate conditions and results to discuss existence, uniqueness,
Xiaoming Wang +4 more
doaj +1 more source
ON THE HYERS-ULAM-RASSIAS STABILITY OF JENSEN'S EQUATION [PDF]
Bulletin of the Korean Mathematical Society, 2009 J. Wang (21) proposed a problem: whether the Hyers-Ulam- Rassias stability of Jensen's equation for the case p,q,r,s 2 (fl, 1 ) \ {1} holds or not under the assumption that G and E are fl-homogeneous F- space (0 < fl • 1). The main purpose of this paper is to give an answer to Wang's problem. Furthermore, we proved that the stability property of Jensen'
Jian Wang, Dongyan Zhang
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‐Rassias‐Wright Stability for Fractional Oscillation Equation [PDF]
Discrete Dynamics in Nature and Society, 2022 In this paper, we consider the nonhomogeneous fractional delay oscillation equation with order σ and introduce a class of control functions, i.e., Wright functions. Next, we apply the Cădariu‐Radu method to prove the existence of a unique solution and Hyers‐Ulam‐Rassias‐Wright stability of the fractional delay oscillation equation.
Zahra Eidinejad, Reza Saadati
openaire +2 more sources
Different stabilities for oscillatory Volterra integral equations
Mathematical Methods in the Applied Sciences, Volume 46, Issue 9, Page 9942-9953, June 2023., 2023 Inspired by the increasing development of theories subordinate to the topic of stability in the sense of Ulam–Hyers and Ulam–Hyers–Rassias, we present in this paper new sufficient conditions for concluding the stability of classes of integral equations with kernels depending on sine and cosine functions.
Alberto Manuel Simões
wiley +1 more source