Results 21 to 30 of about 2,732 (205)

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

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

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

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 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

On existence and stability results to a class of boundary value problems under Mittag-Leffler power law

Advances in Difference Equations, 2020
Some essential conditions for existence theory and stability analysis to a class of boundary value problems of fractional delay differential equations involving Atangana–Baleanu-Caputo derivative are established. The deserted results are derived by using
Gauhar Ali, Kamal Shah, Thabet Abdeljawad, Hasib Khan, Ghaus Ur Rahman, Aziz Khan   +5 more
doaj   +1 more source

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

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

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

, 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., Bohner, Martin, Aljehani, Alaa, Hamza, Alaa E.   +3 more
core   +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