Results 41 to 50 of about 4,940 (143)
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 +2 more
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In this research work, a class of multi-term fractional pantograph differential equations (FODEs) subject to antiperiodic boundary conditions (APBCs) is considered.
Muhammad Bahar Ali Khan +5 more
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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 +3 more
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Stability of Partial Differential Equations by Mahgoub Transform Method
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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Satbility of Ternary Homomorphisms via Generalized Jensen Equation
In this paper, we establish the generalized Hyers--Ulam--Rassias stability of homomorphisms between ternary algebras associted to the generalized Jensen functional equation $r f(\frac{sx+ty}{r}) = s f(x) + t f(y)$.Comment: 12 ...
Moslehian, Mohammad Sal +1 more
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Hyers–Ulam stability of zeros of polynomials
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Hyers–Ulam stability for a partial difference equation
Summary: Under the exponential trichotomy condition we study the Hyers-Ulam stability for the linear partial difference equation: \[ x_{n+1,m}=A_nx_{n,m}+B_{n,m}x_{n,m+1}+f(x_{n,m}),\qquad n,m\in \mathbb{Z} \] where \(A_n\) is a \(k\times k\) matrix whose elements are sequences of \(n\), \(B_{n,m}\) is a \(k\times k\) matrix whose elements are double ...
Konstantinos Konstantinidis +2 more
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Hyers-Ulam Stability of Differentiation Operator on Hilbert Spaces of Entire Functions
We investigate the Hyers-Ulam stability of differentiation operator on Hilbert spaces of entire functions. We give a necessary and sufficient condition in order that the operator has the Hyers-Ulam stability and also show that the best constant of Hyers ...
Chun Wang, Tian-Zhou Xu
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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 +2 more
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Fixed Points and Generalized Hyers‐Ulam Stability
In this paper we prove a fixed‐point theorem for a class of operators with suitable properties, in very general conditions. Also, we show that some recent fixed‐points results in Brzdęk et al., (2011) and Brzdęk and Ciepliński (2011) can be obtained directly from our theorem. Moreover, an affirmative answer to the open problem of Brzdęk and Ciepliński
Cădariu, L. +2 more
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