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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Sufficient Conditions for Ulam–Hyers–Rassias Stability of Fractional-Order Hopfield Neural Networks
Journal of MathematicsIn this paper, we study the Ulam–Hyers–Rassias stability of fractional-order Hopfield neural networks (FHNNs). By using the Mittag-Leffler function and Gronwall’s inequality, we show that such FHNNs are Ulam–Hyers–Rassias stable when the neuron ...
Ding Yali, Bai Nan
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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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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.
Mohammad Sal Moslehian
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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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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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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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β–Hyers–Ulam–Rassias Stability of Semilinear Nonautonomous Impulsive System [PDF]
Symmetry, 2019 In this paper, we study a system governed by impulsive semilinear nonautonomous differential equations. We present the β –Ulam stability, β –Hyers–Ulam stability and β –Hyers–Ulam–Rassias stability for the said system on a compact interval and then extended it to an unbounded interval. We use Grönwall type inequality and evolution family
Xiaoming Wang +2 more
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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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