Results 11 to 20 of about 6,391 (225)

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

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
openaire   +1 more source

Hyers–Ulam and Hyers–Ulam–Rassias Stability of First-Order Nonlinear Dynamic Equations

Qualitative Theory of Dynamical Systems, 2021
We present several new sufficient conditions for Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear dynamic equations for functions defined on a time scale with values in a Banach space.
Maryam A. Alghamdi, Mymonah Alharbi, Martin Bohner, Alaa E. Hamza   +3 more
openaire   +3 more sources

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.
core   +1 more source

Analysis of a coupled system of fractional differential equations with non-separated boundary conditions

Advances in Difference Equations, 2020
Solutions to fractional differential equations is an emerging part of current research, since such equations appear in different applied fields. A study of existence, uniqueness, and stability of solutions to a coupled system of fractional differential ...
Danfeng Luo, Akbar Zada, Shaleena Shaleena, Manzoor Ahmad   +3 more
doaj   +1 more source

Hyers‐Ulam Stability of Power Series Equations [PDF]

Abstract and Applied Analysis, 2011
We prove the Hyers‐Ulam stability of power series equation , whereanforn= 0, 1, 2, 3, … can be real or complex.
Bidkham, M., Soleiman Mezerji, H. A., Gordji, M. Eshaghi   +2 more
openaire   +4 more sources

Existence and Ulam–Hyers stability for Caputo conformable differential equations with four-point integral conditions

Advances in Difference Equations, 2019
In this article, we investigate the existence and uniqueness of solutions for conformable derivatives in the Caputo setting with four-point integral conditions, applying standard fixed point theorems such as Banach contraction mapping principle ...
Aphirak Aphithana, Sotiris K. Ntouyas, Jessada Tariboon   +2 more
doaj   +1 more source

Hyers--Ulam stability of a polynomial equation

Banach Journal of Mathematical Analysis, 2009
The authors prove a Hyers-Ulam type stability result for the polynomial equation \(x^n + \alpha x + \beta = 0\). In particular, using Banach's contraction mapping theorem, they prove the following result: If \( |\alpha | > n\), \(|\beta | < |\alpha|-1\) and \(y \in [-1, 1]\) satisfies the inequality \[ |y^n + \alpha y + \beta | \leq \varepsilon \] for ...
Li, Yongjin, Hua, Liubin
openaire   +2 more sources

Stability of a functional equation deriving from cubic and quartic functions [PDF]

, 2008
In this paper, we obtain the general solution and the generalized Ulam-Hyers stability of the cubic and quartic functional equation &4(f(3x+y)+f(3x-y))=-12(f(x+y)+f(x-y)) &+12(f(2x+y)+f(2x-y))-8f(y)-192f(x)+f(2y)+30f(2x)
Ebadian, A., Gordji, M. Eshaghi, Zolfaghari, S.   +2 more
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Hyers–Ulam stability with respect to gauges

Journal of Mathematical Analysis and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brzdęk, Janusz, Popa, Dorian, Raşa, Ioan   +2 more
openaire   +1 more source