Results 11 to 20 of about 1,858 (164)

Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation

Complexity, 2019
In this paper, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equations by using the fixed point method and the successive approximation method.
Nguyen Ngoc Phung, Bao Quoc Ta, Ho Vu
doaj   +2 more sources

Mean‐Square Ulam–Hyers–Rassias Stability of Riemann–Liouville Fractional Stochastic Differential Equations

Abstract and Applied Analysis
Fractional stochastic differential equations with memory effects are fundamental in modeling phenomena across physics, biology, and finance, where long‐range dependencies and random fluctuations coexist, yet their stability analysis under non‐Lipschitz conditions remains a significant challenge, particularly for systems involving Riemann–Liouville ...
Mohsen Alhassoun, Khalil Yahya
openaire   +2 more sources

Stability of some generalized fractional differential equations in the sense of Ulam-Hyers-Rassias. [PDF]

Bound Value Probl, 2023
AbstractIn this paper, we investigate the existence and uniqueness of fractional differential equations (FDEs) by using the fixed-point theory (FPT). We discuss also the Ulam–Hyers–Rassias (UHR) stability of some generalized FDEs according to some classical mathematical techniques and the FPT.
Makhlouf AB, El-Hady ES, Arfaoui H, Boulaaras S, Mchiri L.   +4 more
europepmc   +5 more sources

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

ISRN 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-Hyers-Rassias stability of neutral stochastic functional differential equations

Stochastics, 2022
In this paper, by using the Gronwall inequality, we show two new results on the UlamHyers and the Ulam-Hyers-Rassias stabilities of neutral stochastic functional differential equations. Two examples illustrating our results are exhibited.
Caraballo Garrido, Tomás, Mchiri, Lassaad, Rhaima, Mohamed   +2 more
openaire   +4 more sources

Ulam-Hyers-Rassias stability of pseudoparabolic partial differential equations [PDF]

Carpathian Journal of Mathematics, 2015
The aim of this paper is to give some types of Ulam stability for a pseudoparabolic partial differential equation. In this case we consider Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability. We investigate some new applications of the Gronwall lemmas to the Ulam stability of a nonlinear pseudoparabolic partial differential equations.
NICOLAIE LUNGU, SORINA ANAMARIA CIPLEA
openaire   +1 more source

Ulam–Hyers–Rassias Stability for a Class of Fractional Integro-Differential Equations [PDF]

Results in Mathematics, 2018
By means of the recent $ $-Hilfer fractional derivative and of the Banach fixed-point theorem, we investigate stabilities of Ulam-Hyers, Ulam-Hyers-Rassias and semi-Ulam-Hyers-Rassias on closed intervals $[a,b]$ and $[a,\infty)$ for a particular class of fractional integro-differential equations.
de Oliveira, E. Capelas, Sousa, J. Vanterler da C.   +1 more
openaire   +3 more sources

Ulam–Hyers–Rassias stability for nonlinear Ψ-Hilfer stochastic fractional differential equation with uncertainty [PDF]

Advances in Difference Equations, 2020
AbstractWe consider a nonlinear Cauchy problem involving the Ψ-Hilfer stochastic fractional derivative with uncertainty, and we give a stability result. Using fixed point theory, we are able to provide a fuzzy Ulam–Hyers–Rassias stability for the considered nonlinear stochastic fractional differential equations.
Reza Chaharpashlou, Reza Saadati, Abdon Atangana   +2 more
openaire   +3 more sources

Ulam-Hyers-Rassias Stability of Nonlinear Differential Equations with Riemann-Liouville Fractional Derivative

Journal of Function Spaces, 2022
Fractional derivatives are used to model the transmission of many real world problems like COVID-19. It is always hard to find analytical solutions for such models. Thus, approximate solutions are of interest in many interesting applications. Stability theory introduces such approximate solutions using some conditions.
El-sayed El-hady, Abdellatif Ben Makhlouf, Salah Boulaaras, Lassaad Mchiri   +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