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A local meshless method for the numerical solution of multi-term time-fractional generalized Oldroyd-B fluid model. [PDF]
Aljawi S, Kamran, Aloqaily A, Mlaiki N.
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The generalized Hyers--Ulam stability of a class of functional equations
Summary: We generalize some results concerning Hyers-Ulam stability of functional equations. Our intention is to include a possibly most general class of functional equations, whose proof of stability runs by classical Hyers' method. The idea of this generalization comes from G. L. Forti and Z. Kominek.
Artur Grabiec
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Generalized Dichotomies and Hyers–Ulam Stability
Results in Mathematics, 2023Consider \[ x^\prime=A(t)x+f(t,x),\,t\geq 0,\tag{1} \] where \(A:\mathbb{R}_+\to \mathbb{R}^{n\times n}\) and \(f:\mathbb{R}_+\times \mathbb{R}^n\to \mathbb{R}^n\) are continuous mappings. It is known that if the corresponding linear differential equation \(x^\prime=A(t)x\) has a uniform exponential dichotomy and \(f(t,x)\) is Lipschitz in \(x ...
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Hyers–Ulam stability of generalized Wilson’s and d’Alembert’s functional equations
Afrika Matematika, 2013The authors investigate the Hyers-Ulam stability for the following functional equation \[ \sum_{\varphi \in \Phi} \int_K f(xk\varphi(y)k^{-1})\;dw_K(k)=|\Phi|f(x)g(y), \quad x,y \in G, \leqno (E) \] where \(G\) is a locally compact group, \(K\) is a compact subgroup of \(G\), \(w_K\) is the normalized Haar measure of \(K\), \(\Phi\) is a finite group ...
Zeglami, D., Roukbi, A., Kabbaj, S.
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Aequationes mathematicae, 2015
The Hyers-Ulam stability of a generalized linear functional equation is investigated. The connection between the existence of a solution of a certain inequality and the stability problem is also examined.
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The Hyers-Ulam stability of a generalized linear functional equation is investigated. The connection between the existence of a solution of a certain inequality and the stability problem is also examined.
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Hyers–Ulam Stability of General Jensen-Type Mappings in Banach Algebras
Results in Mathematics, 2014Let \(S\) be a connected subset of the circle \(\{v \in \mathbb{C}: |v| = 1 \}\) such that \(1 \in S \neq \{1 \}\). Suppose that \(X\) is a complex algebra, \(Y\) is a complex Banach algebra and \(\alpha, \beta \in \mathbb{R} \setminus \{0 \}\). Assume that \(f: X \to Y\) is a mapping for which there exist a constant \(L < 1\) and a function \(\varphi:
Lu, Gang, Park, Choonkil
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On Hyers--Ulam stability of the generalized Cauchy and Wilson equations
Publicationes Mathematicae Debrecen, 2005Let \(G\) be a topological group and \(\mu\) a compactly supported measure on \(G\). Moreover, let \(\sigma\) denote a continuous involution on \(G\). The authors consider the following functional equations: \[ \begin{aligned} &\int_G f(xty) d\mu(t)=g(x)f(y),\\ &\int_G f(xty) d\mu(t)+\int_G f(xt\sigma(y)) d\mu(t)=2f(x)g(y).\\ \end{aligned} \] The first
Elqorachi, Elhoucien, Akkouchi, Mohamed
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