Generalized β-Hyers-Ulam-Rassias Stability of Impulsive Difference Equations. [PDF]
Comput Intell Neurosci, 2022 This paper describes the existence and uniqueness of the solution, β-Hyers–Ulam–Rassias stability and generalized β-Hyers–Ulam–Rassias stability of an impulsive difference system on bounded and unbounded discrete intervals.
Almalki Y +5 more
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Semi-Hyers–Ulam–Rassias Stability of the Convection Partial Differential Equation via Laplace Transform [PDF]
Mathematics, 2021 In this paper, we study the semi-Hyers–Ulam–Rassias stability and the generalized semi-Hyers–Ulam–Rassias stability of some partial differential equations using Laplace transform. One of them is the convection partial differential equation.
Daniela Marian
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Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point Methods [PDF]
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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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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Semi-Hyers–Ulam–Rassias Stability of Some Volterra Integro-Differential Equations via Laplace Transform [PDF]
Axioms, 2023 In this paper the semi-Hyers–Ulam–Rassias stability of some Volterra integro-differential equations is investigated, using the Laplace transform. This is a continuation of some previous work on this topic.
Daniela Inoan, Daniela Marian
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Laplace Transform and Semi-Hyers–Ulam–Rassias Stability of Some Delay Differential Equations [PDF]
Mathematics, 2021 In this paper, we study semi-Hyers–Ulam–Rassias stability and generalized semi-Hyers–Ulam–Rassias stability of differential equations x′t+xt−1=ft and x″t+x′t−1=ft,xt=0ift≤0, using the Laplace transform. Our results complete those obtained by S. M.
Daniela Marian
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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
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Journal of Nonlinear Science and its ApplicationsThis paper is concerned with the Hyers-Ulam-Rassias stability second order nonlinear differential equations with nonlinear damping. New criteria for Hyers-Ulam-Rassias stability are established which improve and extend the known results in the literature.
Ilesanmi Fakunle +3 more
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HYERS-ULAM-RASSIAS STABILITY OF <i>κ</i>-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS
Journal of Applied Analysis & ComputationThe paper is connected with the existence of solutions and Hyers-Ulam stability for a class of nonlinear fractional differential equations with κ -Caputo fractional derivative in boundary value problems.
Yao Hui, Wenqi Jin, Qixiang Dong
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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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