Open AccessUlam-Hyers-Rassias stability for a class of nonlinear implicit Hadamard fractional integral boundary value problem with impulses
Author(s) -
Kaihong Zhao,
Shaoping Ma
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022175
Subject(s) - uniqueness , hadamard transform , mathematics , nonlinear system , class (philosophy) , banach space , mathematical analysis , stability (learning theory) , boundary value problem , contraction principle , pure mathematics , computer science , physics , quantum mechanics , artificial intelligence , machine learning
This paper considers a class of nonlinear implicit Hadamard fractional differential equations with impulses. By using Banach's contraction mapping principle, we establish some sufficient criteria to ensure the existence and uniqueness of solution. Furthermore, the Ulam-Hyers stability and Ulam-Hyers-Rassias stability of this system are obtained by applying nonlinear functional analysis technique. As applications, an interesting example is provided to illustrate the effectiveness of main results.