Results 31 to 40 of about 2,275,004 (213)

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

open access: yes, 2021
We investigate Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order nonlinear dynamic equations for functions defined on a time scale with values in a Banach ...
Alghamdi, Maryam A.   +3 more
core   +1 more source

Hyers-Ulam stability of fractional linear differential equations involving Caputo fractional derivatives [PDF]

open access: yes, 2015
summary:The aim of this paper is to study the stability of fractional differential equations in Hyers-Ulam sense. Namely, if we replace a given fractional differential equation by a fractional differential inequality, we ask when the solutions of the ...
Xu, Tian-Zhou, Wang, Chun
core   +1 more source

Ulam-Hyers-Rassias Stability of a Hyperbolic Partial Differential Equation [PDF]

open access: yesISRN Mathematical Analysis, 2012
We consider a nonlinear hyperbolic partial differential equation in a general form. Using a Gronwall-type lemma we prove results on the Ulam-Hyers stability and the generalised Ulam-Hyers-Rassias stability of this equation.
Lungu, Nicolaie, Crăciun, Cecilia
openaire   +2 more sources

Ulam-type stability for a class of implicit fractional differential equations with non-instantaneous integral impulses and boundary condition

open access: yesAdvances in Difference Equations, 2017
In this paper, we investigate four different types of Ulam stability, i.e., Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of nonlinear implicit fractional ...
Akbar Zada, Sartaj Ali, Yongjin Li
doaj   +1 more source

A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation

open access: yesNonlinear Engineering, 2021
An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML–Hyers–Ulam stability is established in this investigation.
Kaabar Mohammed K. A.   +5 more
doaj   +1 more source

Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Linear Dynamic Equations

open access: yes, 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 ...
Alghamdi, Maryam A.   +3 more
core   +1 more source

HYERS-ULAM STABILITY OF QUADRATIC FUNCTIONAL EQUATIONS [PDF]

open access: yes, 2020
In this paper,we establish the general solution and the generalized Hyers-Ulam stability problem ...
P Hyers-Ulam Stability Of Quadratic Functional Equations…   +1 more
core  

Hyers-Ulam stability of a certain Fredholm integral equation [PDF]

open access: yes, 2021
In this paper, by using Fixed point Theorem we establish the Hyers-Ulam stability and Hyers-Ulam-Rassias stability of certain homogeneous Fredholm Integral equation of the second kind and non-homogeneous equation.info:eu-repo/semantics ...
Selvan, Ponmana, Simões, A. M.
core   +1 more source

Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative

open access: yesJournal 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   +2 more
doaj   +1 more source

Ulam–Hyers stability and exponentially dichotomic equations in Banach spaces

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2023
For finite-dimensional linear differential systems with bounded coefficients, we prove that their exponential dichotomy on R is equivalent to their Ulam–Hyers stability on
openaire   +3 more sources

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