The continuous dependence of global solutions to Caputo fractional order systems

Cong Wu

doi:10.1216/jie.2021.33.371

Abstract

We work out the continuous dependence, on initial values and parameters, of solutions on maximal intervals of existence (or global solutions) to Caputo fractional order systems, benefiting from a very recent continuation result.

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Cong Wu. "The continuous dependence of global solutions to Caputo fractional order systems." J. Integral Equations Applications 33 (3) 371 - 379, Fall 2021. https://doi.org/10.1216/jie.2021.33.371

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Received: 23 January 2020; Revised: 20 May 2020; Accepted: 2 June 2020; Published: Fall 2021

First available in Project Euclid: 17 February 2022

MathSciNet: MR4383258

zbMATH: 1501.34015

Digital Object Identifier: 10.1216/jie.2021.33.371

Subjects:

Primary: 26A33 , 34A12 , 34A34 , 40A30

Keywords: Caputo fractional order system , continuation , ‎continuous dependence , global solution , maximal interval of existence

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