Back to Search Start Over

Ulam–Hyers Stability and Simulation of a Delayed Fractional Differential Equation with Riemann–Stieltjes Integral Boundary Conditions and Fractional Impulses.

Authors :
Lv, Xiaojun
Zhao, Kaihong
Xie, Haiping
Source :
Axioms (2075-1680). Oct2024, Vol. 13 Issue 10, p682. 25p.
Publication Year :
2024

Abstract

In this article, we delve into delayed fractional differential equations with Riemann–Stieltjes integral boundary conditions and fractional impulses. By using differential inequality techniques and some fixed-point theorems, some novel sufficient assessments for convenient verification have been devised to ensure the existence and uniqueness of solutions. We further employ the nonlinear analysis to reveal that this problem is Ulam–Hyers (UH) stable. Finally, some examples and numerical simulations are presented to illustrate the reliability and validity of our main results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20751680
Volume :
13
Issue :
10
Database :
Academic Search Index
Journal :
Axioms (2075-1680)
Publication Type :
Academic Journal
Accession number :
180524584
Full Text :
https://doi.org/10.3390/axioms13100682