Results 41 to 50 of about 1,494 (161)

Ulam’s stability for some linear conformable fractional differential equations

open access: yesAdvances in Difference Equations, 2020
In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam–Hyers ...
Sen Wang, Wei Jiang, Jiale Sheng, Rui Li
doaj   +1 more source

On a coupled system of pantograph problem with three sequential fractional derivatives by using positive contraction-type inequalities

open access: yesResults in Physics, 2022
This paper aims to establish conditions for the existence, uniqueness and Ulam–Hyers stability of solutions for a coupled system of pantograph problem with three sequential fractional derivatives.
Reny George   +4 more
doaj   +1 more source

Ulam-Hyers stabilities of fractional functional differential equations

open access: yesAIMS Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Vanterler da C. Sousa   +2 more
openaire   +3 more sources

Study of implicit delay fractional differential equations under anti-periodic boundary conditions

open access: yesAdvances in Difference Equations, 2020
This research work is related to studying a class of special type delay implicit fractional order differential equations under anti-periodic boundary conditions.
Arshad Ali   +2 more
doaj   +1 more source

Semi-Hyers–Ulam–Rassias Stability of the Convection Partial Differential Equation via Laplace Transform

open access: yesMathematics, 2021
In this paper, we study the semi-Hyers–Ulam–Rassias stability and the generalized semi-Hyers–Ulam–Rassias stability of some partial differential equations using Laplace transform. One of them is the convection partial differential equation.
Daniela Marian
doaj   +1 more source

GENERALIZED ULAM -HYERS STABILITY OF DERIVATIONS OF A AQ - FUNCTIONAL EQUATION [PDF]

open access: yesCubo (Temuco), 2013
Let \(X\) be a Banach algebra, let \(j \in \{+1, -1\}\) and let \(f: X \to X\) be an odd mapping fulfilling \[ \|f(x + y) + f(x - y) - 2f(x) - f(y) - f(-y)\| \leq \alpha(x,y), \;x,y \in X \] and \[ \|f(x y) - f(x)y - xf(y)\| \leq \beta(x, y), \;x, y \in X, \tag{1} \] where \(\alpha, \beta: X^{2} \to [0, \infty)\) are such that the series \[ \sum_{n = 0}
openaire   +3 more sources

On Ulam–Hyers Stability for a System of Partial Differential Equations of First Order [PDF]

open access: yesSymmetry, 2020
The aim of this paper is to investigate generalized Ulam–Hyers stability and generalized Ulam–Hyers–Rassias stability for a system of partial differential equations of first order. More precisely, we consider a system of two nonlinear equations of first order with an unknown function of two independent variables, which satisfy the corresponding ...
Daniela Marian   +2 more
openaire   +1 more source

Note on the solution of random differential equations via ψ-Hilfer fractional derivative

open access: yesAdvances in Difference Equations, 2018
This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ-Hilfer fractional derivative.
S. Harikrishnan   +3 more
doaj   +1 more source

On stability for nonlinear implicit fractional differential equations

open access: yesLe Matematiche, 2015
The purpose of this paper is to establish some  types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order ...
Mouffak Benchohra, Jamal E. Lazreg
doaj  

On applications of Ulam-Hyers stability in biology and economics

open access: yes, 2010
6 pages, 0 ...
Ahmed, E.   +3 more
openaire   +2 more sources

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