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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Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation
Complexity, 2019 In this paper, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equations by using the fixed point method and the successive approximation method.
Nguyen Ngoc Phung, Bao Quoc Ta, Ho Vu
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Ulam-Hyers stability of a parabolic partial differential equation [PDF]
Demonstratio Mathematica, 2019 The goal of this paper is to give an Ulam-Hyers stability result for a parabolic partial differential equation. Here we present two types of Ulam stability: Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability.
Marian Daniela +2 more
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Ulam–Hyers–Rassias Stability for a Class of Fractional Integro-Differential Equations [PDF]
Results in Mathematics, 2018 16 ...
J Vanterler da C Sousa +2 more
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Ulam–Hyers stability of a nonlinear fractional Volterra integro-differential equation
Applied Mathematics Letters, 2018 Using the $ψ-$Hilfer fractional derivative, we present a study of the Hyers-Ulam-Rassias stability and the Hyers-Ulam stability of the fractional Volterra integral-differential equation by means of fixed-point method.
José Vanterler Costa Sousa +1 more
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Ulam–Hyers–Rassias stability of neutral stochastic functional differential equations
Stochastics, 2022 In this paper, by using the Gronwall inequality, we show two new results on the UlamHyers and the Ulam-Hyers-Rassias stabilities of neutral stochastic functional differential equations. Two examples illustrating our results are exhibited.
Mohamed Rhaimá +2 more
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Fractional Order Pseudoparabolic Partial Differential Equation: Ulam–Hyers Stability [PDF]
Bulletin of the Brazilian Mathematical Society, 2018 15 ...
J Vanterler da C Sousa +2 more
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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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Efficient results on fractional Langevin-Sturm-Liouville problem via generalized Caputo-Atangana-Baleanu derivatives. [PDF]
PLoS ONEIn this paper, we investigate the generalized Langevin-Sturm-Liouville differential problems involving Caputo-Atangana-Baleanu fractional derivatives of higher orders with respect to another positive, increasing function denoted by ρ.
Sabri T M Thabet +4 more
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Stability of Ulam–Hyers and Ulam–Hyers–Rassias for a class of fractional differential equations [PDF]
Advances in Difference Equations, 2020 AbstractIn this paper, we investigate a class of nonlinear fractional differential equations with integral boundary condition. By means of Krasnosel’skiĭ fixed point theorem and contraction mapping principle we prove the existence and uniqueness of solutions for a nonlinear system.
Qun Dai +3 more
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