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Stability analysis and solutions of fractional boundary value problem on the cyclopentasilane graph [PDF]
HeliyonThe study is being applied to a model involving silane and on cyclopentasilane graph. We consider a graph with labeled vertices by 0 or 1 inspired by the molecular structure of cyclopentasilane. In this paper, we first study the existence of solutions to
Guotao Wang +2 more
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Hyers–Ulam stability for quantum equations [PDF]
Aequationes mathematicae, 2020 We introduce and study the Hyers--Ulam stability (HUS) of a Cayley quantum ($q$-difference) equation of first order, where the constant coefficient is allowed to range over the complex numbers. In particular, if this coefficient is non-zero, then the quantum equation has Hyers--Ulam stability for certain values of the Cayley parameter, and we establish
Douglas R. Anderson, Masakazu Onitsuka
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Hyers–Ulam stability for hyperbolic random dynamics [PDF]
Fundamenta Mathematicae, 2021 We prove that small nonlinear perturbations of random linear dynamics admitting a tempered exponential dichotomy have a random version of the shadowing property. As a consequence, if the exponential dichotomy is uniform, we get that the random linear dynamics is Hyers-Ulam stable.
Backes, Lucas, Dragičević, Davor
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Hyers‐Ulam Stability of Polynomial Equations [PDF]
Abstract and Applied Analysis, 2010 We prove the Hyers‐Ulam stability of the polynomial equation anxn + an−1xn−1 + ⋯+a1x + a0 = 0. We give an affirmative answer to a problem posed by Li and Hua (2009).
Bidkham, M. +2 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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Hyers–Ulam and Hyers–Ulam–Rassias Stability of First-Order Nonlinear Dynamic Equations
Qualitative Theory of Dynamical Systems, 2021 We present several new sufficient conditions for Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear dynamic equations for functions defined on a time scale with values in a Banach space.
Maryam A. Alghamdi +3 more
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Hyers–Ulam stability of spherical functions [PDF]
Georgian Mathematical Journal, 2016 Abstract In [15] we obtained the Hyers–Ulam stability of the functional equation ∫ K
Bouikhalene, Belaid +1 more
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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
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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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