On Hyers–Ulam Stability for Fractional Differential Equations Including the New Caputo–Fabrizio Fractional Derivative
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DOI: 10.1007/s00009-019-1407-x
Abstract: In this paper, we study the stability in the sense of Hyers–Ulam for the following fractional differential equations including the new Caputo–Fabrizio fractional derivative: $$\begin{aligned} \left( ^{CF}D^{\alpha }y\right) \left( x\right) =f\left( x\right) \quad \qquad \quad… read more here.
Keywords: left right; including new; equations including; fractional differential ... See more keywords
The Hyers–Ulam stability of an additive-quadratic s-functional inequality in Banach spaces
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DOI: 10.1007/s11587-021-00648-3
Abstract: For any fixed $$s \in \left\{ z \in \mathbb {C} : z \ne 0 \text { and } |z| read more here.
Keywords: functional inequality; bigg; ulam stability; hyers ulam ... See more keywords
Boundedness, Compactness and the Hyers–Ulam Stability of a Linear Combination of Differential Operators
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DOI: 10.1007/s11785-019-00972-5
Abstract: Let $$\lambda _1, \lambda _2 \ldots \lambda _{n-1}$$ λ 1 , λ 2 … λ n - 1 are non-zero complex numbers, $$\lambda _n$$ λ n a complex number, n a positive integer, $$D^n$$ D… read more here.
Keywords: lambda lambda; beta; hyers ulam; differential ... See more keywords
On the Hyers–Ulam stability of Riemann–Liouville multi-order fractional differential equations
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DOI: 10.1007/s13370-019-00701-3
Abstract: In this paper, by using a Bielecki’s type norm and Banach fixed point theorem, we obtain a result on the Hyers–Ulam stability of Riemann–Liouville multi-order fractional differential equations. read more here.
Keywords: hyers ulam; stability riemann; ulam stability; liouville multi ... See more keywords
Hyers–Ulam Stability of a Class Second Differential Equation $$y''(x)+p(x)y'(x)+q(x)y(x)=F(y(x))$$y′′(x)+p(x)y′(x)+q(x)y(x)=F(y(x))
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-017-0454-3
Abstract: In this paper, we study the Hyers–Ulam–Rassias stability and Hyers–Ulam stability for a class second differential equation $$\begin{aligned} y''(x)+p(x)y'(x)+q(x)y(x)=F(y(x)) \end{aligned}$$y′′(x)+p(x)y′(x)+q(x)y(x)=F(y(x))by a generalized fixed point theorem. Moreover, we show that the differential equation $$\begin{aligned} y'(x)=F(x,y(x)) \end{aligned}$$y′(x)=F(x,y(x))has… read more here.
Keywords: differential equation; stability class; hyers ulam; stability ... See more keywords
Generalized β−Hyers–Ulam–Rassias Stability of Impulsive Difference Equations
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DOI: 10.1155/2022/9462424
Abstract: 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. At the end, an example is given to… read more here.
Keywords: stability impulsive; ulam rassias; rassias stability; generalized hyers ... See more keywords
Hyers–Ulam stability of linear fractional differential equations with variable coefficients
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DOI: 10.1186/s13662-020-02863-y
Abstract: Motivated by Shen et al., we apply the Gronwall’s inequality to establish the Hyers–Ulam stability of two types (Riemann–Liouville and Caputo) of linear fractional differential equations with variable coefficients under certain conditions. read more here.
Keywords: equations variable; linear fractional; fractional differential; differential equations ... See more keywords
On Hyers–Ulam Mittag-Leffler stability of discrete fractional Duffing equation with application on inverted pendulum
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DOI: 10.1186/s13662-020-02920-6
Abstract: A human being standing upright with his feet as the pivot is the most popular example of the stabilized inverted pendulum. Achieving stability of the inverted pendulum has become common challenge for engineers. In this… read more here.
Keywords: discrete fractional; inverted pendulum; duffing equation; hyers ulam ... See more keywords
Stability analysis for a class of implicit fractional differential equations involving Atangana–Baleanu fractional derivative
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DOI: 10.1186/s13662-021-03551-1
Abstract: 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. The required results are established by… read more here.
Keywords: atangana baleanu; stability analysis; class implicit; hyers ulam ... See more keywords
Existence and Hyers-Ulam stability results for a class of fractional order delay differential equations with non-instantaneous impulses
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DOI: 10.1515/ms-2017-0427
Abstract: Abstract In this paper, we mainly consider the existence and Hyers-Ulam stability of solutions for a class of fractional differential equations involving time-varying delays and non-instantaneous impulses. By the Krasnoselskii’s fixed point theorem, we present… read more here.
Keywords: existence; class fractional; existence hyers; hyers ulam ... See more keywords
Generalized Hyers-Ulam stability for general additive functional equations on non-Archimedean random lie C*-algebras
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DOI: 10.2298/fil1806127w
Abstract: In this paper, using the fixed point method, we prove some results related to the generalized Hyers-Ulam stability of homomorphisms and derivations in non-Archimedean random C∗-algebras and non-Archimedean random Lie C∗-algebras for the generalized additive… read more here.
Keywords: generalized hyers; non archimedean; archimedean random; hyers ulam ... See more keywords