Stability analysis of multi-point boundary conditions for fractional differential equation with non-instantaneous integral impulse-Reference-Cited by-同舟云学术

Stability analysis of multi-point boundary conditions for fractional differential equation with non-instantaneous integral impulse

Published:2023 Issue:4 Volume:20 Page:7020-7041
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Li Guodong¹,Zhang Ying¹,Guan Yajuan¹,Li Wenjie¹²³

Affiliation:

1. Department of System Science and Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, China

2. Key Laboratory of Applied Statistics and Data Analysis of Department of Education of Yunnan Province, Kunming, Yunnan 650500, China

3. School of Mathematical and Computational Science, Hunan University of Science and Technology, Xiangtan, Hunan 411201, China

Abstract

<abstract><p>This paper considers the stability of a fractional differential equation with multi-point boundary conditions and non-instantaneous integral impulse. Some sufficient conditions for the existence, uniqueness and at least one solution of the aforementioned equation are studied by using the Diaz-Margolis fixed point theorem. Secondly, the Ulam stability of the equation is also discussed. Lastly, we give one example to support our main results. It is worth pointing out that these two non-instantaneous integral impulse and multi-point boundary conditions factors are simultaneously considered in the fractional differential equations studied for the first time.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

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