Results 31 to 40 of about 6,753 (236)

Hyers-Ulam and Hyers-Ulam-Rassias Stability for Linear Fractional Systems with Riemann-Liouville Derivatives and Distributed Delays

Axioms, 2023
The aim of the present paper is to study the asymptotic properties of the solutions of linear fractional system with Riemann–Liouville-type derivatives and distributed delays. We prove under natural assumptions (similar to those used in the case when the
H. Kiskinov, E. Madamlieva, A. Zahariev
semanticscholar   +1 more source

A coupled system of p-Laplacian implicit fractional differential equations depending on boundary conditions of integral type

AIMS Mathematics, 2023
The objective of this article is to investigate a coupled implicit Caputo fractional $ p $-Laplacian system, depending on boundary conditions of integral type, by the substitution method.
Dongming Nie, Usman Riaz, Sumbel Begum, Akbar Zada   +3 more
doaj   +1 more source

Hyers-Ulam-Rassias stability of high-dimensional quaternion impulsive fuzzy dynamic equations on time scales

Discrete and Continuous Dynamical Systems. Series A, 2021
In this paper, the Hyers-Ulam-Rassias stability of high-dimensional quaternion fuzzy dynamic equations with impulses is first considered on time scales.
Chao Wang, Zhien Li, R. Agarwal
semanticscholar   +1 more source

HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC FUNCTIONAL EQUATION

Bulletin of the Korean Mathematical Society, 2003
Let \(X\) and \(Y\) be real vector spaces. One of main theorems of this paper states that a function \(f: X\to Y\) satisfies the functional equation \[ n^2{n-2\choose k-2}\, f\Biggl({x_1+\cdots+ x_n\over n}\Biggr)+ {n-2\choose k-1}\,\sum^n_{i=1} f(x_i)= k^2 \sum_{1\leq ...
T. Trif
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HYERS-ULAM-RASSIAS STABILITY OF A NONLINEAR STOCHASTIC FRACTIONAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATION

Journal of Applied Analysis & Computation, 2023
In this paper, we apply the fixed point technique to study the Hyers-Ulam and the Hyers-Ulam-Rassias stability of the stochastic fractional Volterra integro-differential equation with uncertainty for a kind of ϕ -Hilfer stochastic fractional differential
R. Chaharpashlou, Antonio M. Lopes
semanticscholar   +1 more source

Existence, uniqueness and Ulam's stabilities for a class of implicit impulsive Langevin equation with Hilfer fractional derivatives

AIMS Mathematics, 2021
In this manuscript, a class of implicit impulsive Langevin equation with Hilfer fractional derivatives is considered. Using the techniques of nonlinear functional analysis, we establish appropriate conditions and results to discuss existence, uniqueness,
Xiaoming Wang, Rizwan Rizwan , Jung Rey Lee, Akbar Zada , Syed Omar Shah   +4 more
doaj   +1 more source

Mixed nonlocal boundary value problem for implicit fractional integro-differential equations via ψ-Hilfer fractional derivative

Advances in Difference Equations, 2021
In this paper, we investigate the existence and uniqueness of a solution for a class of ψ-Hilfer implicit fractional integro-differential equations with mixed nonlocal conditions.
Chatthai Thaiprayoon, Weerawat Sudsutad, Sotiris K. Ntouyas   +2 more
doaj   +1 more source

A NOTE ON THE HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC EQUATION [PDF]

Bulletin of the Korean Mathematical Society, 2004
The authors consider two functional equations of quadratic type and give some interesting results concerning their stability in the spirit of papers of the reviewer [J. Math. Anal. Appl. 184, 431--436 (1994; Zbl 0818.46043)] and \textit{W. Jian} [J. Math. Anal. Appl. 263, 406--423 (2001; Zbl 0993.39024)].
Kang, Jie-Hyung, Lee, Chang-Ju, Lee, Yang-Hi   +2 more
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ON THE HYERS-ULAM-RASSIAS STABILITY OF JENSEN'S EQUATION [PDF]

Bulletin of the Korean Mathematical Society, 2009
J. Wang (21) proposed a problem: whether the Hyers-Ulam- Rassias stability of Jensen's equation for the case p,q,r,s 2 (fl, 1 ) \ {1} holds or not under the assumption that G and E are fl-homogeneous F- space (0 < fl • 1). The main purpose of this paper is to give an answer to Wang's problem. Furthermore, we proved that the stability property of Jensen'
Dongyan Zhang, Jian Wang
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Условия Hyers—Ulam—Rassias-устойчивости семейств уравнений [PDF]

, 2017
Для семейства регуляризованных уравнений и семейства уравнений с причинным оператором получены достаточные условия Hyers—Ulam—Rassias-устойчивости.Для сімейства регуляризованих рівнянь і сімейства рівнянь з причинним оператором отримано достатні умови ...
Мартынюк, А.А.
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