Results 31 to 40 of about 1,629 (185)

Ulam-Hyers-Rassias stability of a nonlinear stochastic Ito-Volterra integral equation [PDF]

Differential Equations & Applications, 2018
Summary: In this paper, by using the classical Banach contraction principle, we investigate and establish the stability in the sense of Ulam-Hyers and in the sense of Ulam-Hyers-Rassias for the following stochastic integral equation \[ X_t=\xi_t+\int_0^t A(t,s,X_s)ds+\int_0^t B(t,s,X_s)dW_s, \] where \(\int_0^t B(t,s,X_s)dW_s\) is Ito integral.
Ngoc, Ngo Phuoc Nguyen, Van Vinh, Nguyen
openaire   +2 more sources

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

Journal 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, Nasrin Eghbali, Hassen Aydi   +2 more
doaj   +1 more source

Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions

Advances in Difference Equations, 2020
This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results
Akbar Zada, Jehad Alzabut, Hira Waheed, Ioan-Lucian Popa   +3 more
doaj   +1 more source

On the solution and Ulam-Hyers-Rassias stability of a Caputo fractional boundary value problem

Mathematical Biosciences and Engineering, 2022
<abstract><p>In this paper, we investigate a class of boundary value problems involving Caputo fractional derivative $ {{}^C\mathcal{D}^{\alpha}_{a}} $ of order $ \alpha \in (2, 3) $, and the usual derivative, of the form</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} ({{
Castro, Luís P., Silva, Anabela S.
openaire   +5 more sources

Stability of Ulam–Hyers and Ulam–Hyers–Rassias for a class of fractional differential equations [PDF]

Advances in Difference Equations, 2020
AbstractIn this paper, we investigate a class of nonlinear fractional differential equations with integral boundary condition. By means of Krasnosel’skiĭ fixed point theorem and contraction mapping principle we prove the existence and uniqueness of solutions for a nonlinear system.
Qun Dai, Ruimei Gao, Zhe Li, Changjia Wang   +3 more
openaire   +2 more sources

Generalized Ulam–Hyers–Rassias Stability Results of Solution for Nonlinear Fractional Differential Problem with Boundary Conditions [PDF]

Mathematical Problems in Engineering, 2021
The problem of existence and generalized Ulam–Hyers–Rassias stability results for fractional differential equation with boundary conditions on unbounded interval is considered. Based on Schauder’s fixed point theorem, the existence and generalized Ulam–Hyers–Rassias stability results are proved, and then some examples are given to illustrate our main ...
A. Naimi, B. Tellab, Y. Altayeb, A. Moumen   +3 more
openaire   +1 more source

Existence and Ulam-Hyers-Rassias stability of stochastic differential equations with random impulses

Filomat, 2021
In this paper, we investigate the existence and Ulam-Hyers-Rassias stability of solutions for stochastic differential equations with random impulses. Based on the Krasnoselskii?s fixed point theorem, we perform investigations on the existence of solutions to the system of stochastic differential equations with random impulses.
Wenxuan Lang, Sufang Deng, Xiao-Bao Shu, Fei Xu   +3 more
openaire   +2 more sources

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

Advances 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, Kamal Shah, Thabet Abdeljawad   +2 more
doaj   +1 more source

Stability of generalized Newton difference equations

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In the paper we discuss a stability in the sense of the generalized Hyers-Ulam-Rassias for functional equations Δn(p, c)φ(x) = h(x), which is called generalized Newton difference equations, and give a sufficient condition of the generalized Hyers-Ulam ...
Wang Zhihua, Shi Yong-Guo
doaj   +1 more source

Ulam stability and data dependence for fractional differential equations with Caputo derivative [PDF]

, 2011
In this paper, Ulam stability and data dependence for fractional differential equations with Caputo fractional derivative of order $\alpha$ are studied. We present four types of Ulam stability results for the fractional differential equation in the case ...
Lv, Linli, Wang, JinRong, Zhou, Yong
core   +2 more sources