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Upper and lower estimates for the separation of solutions to fractional differential equations

  • Given a fractional differential equation of order α∈(0,1] with Caputo derivatives, we investigate in a quantitative sense how the associated solutions depend on their respective initial conditions. Specifically, we look at two solutions x1 and x2, say, of the same differential equation, both of which are assumed to be defined on a common interval [0, T], and provide upper and lower bounds for the difference x1(t)−x2(t) for all t∈[0,T] that are stronger than the bounds previously described in the literature.

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Metadaten
Author:Kai Diethelm, Hoang The Tuan
DOI:https://doi.org/10.1007/s13540-021-00007-x
ISSN:1314-2224
Parent Title (English):Fractional Calculus and Applied Analysis
Document Type:Article
Language:English
Date of first Publication:2022/02/07
Publishing Institution:Hochschule für Angewandte Wissenschaften Würzburg-Schweinfurt
Release Date:2022/04/25
Volume:25
First Page:166
Last Page:180
Institutes and faculty:Fakultäten / Fakultät für angewandte Natur- und Geisteswissenschaften
Open access colour:Hybrid
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International
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