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Hyers–Ulam stability of Euler’s equation

Applied Mathematics Letters, 2011
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Dalia Sabina Cîmpean, Dorian Popa
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Existence and Stability Results for a Fractional Order Differential Equation with Non-Conjugate Riemann-Stieltjes Integro-Multipoint Boundary Conditions

Mathematics, 2019
We discuss the existence and uniqueness of solutions for a Caputo-type fractional order boundary value problem equipped with non-conjugate Riemann-Stieltjes integro-multipoint boundary conditions on an arbitrary domain.
Bashir Ahmad, Ymnah Alruwaily, Ahmed Alsaedi, Sotiris K. Ntouyas   +3 more
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Ulam’s stability for some linear conformable fractional differential equations

Advances in Difference Equations, 2020
In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam–Hyers ...
Sen Wang, Wei Jiang, Jiale Sheng, Rui Li
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Continuous Dependence on the Initial Functions and Stability Properties in Hyers–Ulam–Rassias Sense for Neutral Fractional Systems with Distributed Delays

Fractal and Fractional, 2023
We study several stability properties on a finite or infinite interval of inhomogeneous linear neutral fractional systems with distributed delays and Caputo-type derivatives.
Hristo Kiskinov, Mariyan Milev, Magdalena Veselinova, Andrey Zahariev   +3 more
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Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative

Journal of Mathematics, 2021
In this article, we investigate the existence, uniqueness, and different kinds of Ulam–Hyers stability of solutions of an impulsive coupled system of fractional differential equations by using the Caputo–Katugampola fuzzy fractional derivative.
Leila Sajedi, Nasrin Eghbali, Hassen Aydi   +2 more
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Stability of Partial Differential Equations by Mahgoub Transform Method

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022
The stability theory is an important research area in the qualitative analysis of partial differential equations. The Hyers-Ulam stability for a partial differential equation has a very close exact solution to the approximate solution of the differential
Harun Biçer
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Ulam-Hyers Stability for Operatorial Equations

Annals of the Alexandru Ioan Cuza University - Mathematics, 2011
Let \((X,d)\) be a metric space, \(\mathcal P(X):=\{Y\subset X\}\), \(P(X):=\{Y\in\mathcal P(X):Y\neq\emptyset\}\), \(D_d:P(X)\times P(X)\to\mathbb R_+\) the gap functional, given by \[ D_d(A,B)=\inf\left\{d(a,b):a\in A,\,b\in B\right\}, \] and let \(F:X\to P(X)\) be a multivalued operator.
Bota-Boriceanu, M. F., Petruşel, A.
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Four Different Ulam-Type Stability for Implicit Second-Order Fractional Integro-Differential Equation with M-Point Boundary Conditions

Mathematics
In this paper, we discuss the existence and uniqueness of a solution for the implicit two-order fractional integro-differential equation with m-point boundary conditions by applying the Banach fixed point theorem.
Ilhem Nasrallah, Rabiaa Aouafi, Said Kouachi   +2 more
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Hyers–Ulam stability of spherical functions [PDF]

Georgian Mathematical Journal, 2016
Abstract In [15] we obtained the Hyers–Ulam stability of the functional equation ∫ K
Bouikhalene, Belaid, Eloqrachi, Elhoucien   +1 more
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Ulam stability for second-order linear differential equations with three variable coefficients

Results in Applied Mathematics, 2022
This study deals with Ulam stability of second-order linear differential equations of the form e(x)y′′+f(x)y′+g(x)y=0. The method established by Cădariu et al. (2020) is extended.
Masakazu Onitsuka
doaj   +1 more source