Hyers-Ulam-Rassias Stability of Generalized Derivations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 The generalized Hyers--Ulam--Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established.Comment: 9 pages, minor changes, to appear in Internat. J. Math.
Moslehian, Mohammad Sal
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Stability analysis for a class of implicit fractional differential equations involving Atangana–Baleanu fractional derivative [PDF]
Advances in Difference Equations, 2021 Some fundamental conditions and hypotheses are established to ensure the existence, uniqueness, and stability to a class of implicit boundary value problems (BVPs) with Atangana–Baleanu–Caputo type derivative and integral.
Asma +3 more
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Hyers-Ulam-Rassias stability of generalized module left (m,n)-derivations [PDF]
Journal of Inequalities and Applications, 2013 The generalized Hyers-Ulam-Rassias stability of generalized module left ▫$(m,n)$▫-derivations on a normed algebra ▫$mathcal{A}$▫ into a Banach left ▫$mathcal{A}$▫-module is established.V članku je obravnavana Hyers-Ulam-Rassias stabilnost posplošenih ...
Fošner, Ajda
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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‐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
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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-Rassias stability of (m, n)-Jordan derivations [PDF]
Open Mathematics, 2020 Abstract In this paper, we study the Hyers-Ulam-Rassias stability of ( m , n ) (m ...
An Guangyu, Yao Ying
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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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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
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