Results 11 to 20 of about 107,297 (248)
Existence and stability results for nonlinear fractional delay differential equations [PDF]
Boletim da Sociedade Paranaense de Matemática, 2018 We establish existence and uniqueness results for fractional order delay differential equations. It is proved that successive approximation method can also be successfully applied to study Ulam--Hyers stability, generalized Ulam--Hyers stability, Ulam ...
Kishor D. Kucche, Sagar T. Sutar
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Hyers-Ulam stability of Flett's points
Applied Mathematics Letters, 2003 AbstractIn this paper, we show that Flett's points are stable in the sense of Hyers and Ulam.
Thomas Riedel, Prasanna K. Sahoo, M. Das
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On stability for nonlinear implicit fractional differential equations [PDF]
Le 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 ...
Benchohra, Mouffak, Lazreg, Jamal E.
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Hyers‐Ulam Stability of Power Series Equations [PDF]
Abstract and Applied Analysis, 2011 We prove the Hyers‐Ulam stability of power series equation , where an for n = 0, 1, 2, 3, … can be real or complex.
Bidkham, M. +2 more
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A note on the probabilistic stability of randomized Taylor schemes [PDF]
Electron. Trans. Numer. Anal. 58 (2023), 101-114, 2022 We study the stability of randomized Taylor schemes for ODEs. We consider three notions of probabilistic stability: asymptotic stability, mean-square stability, and stability in probability. We prove fundamental properties of the probabilistic stability regions and benchmark them against the absolute stability regions for deterministic Taylor schemes.
arxiv +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
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On the stability of first order impulsive evolution equations [PDF]
Opuscula Mathematica, 2014 In this paper, concepts of Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for impulsive evolution equations are raised.
JinRong Wang, Michal Fečkan, Yong Zhou
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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
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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
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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
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