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A note on the well-posedness of terminal value problems for fractional differential equations

  • This note is intended to clarify some important points about the well-posedness of terminal value problems for fractional differential equations. It follows the recent publication of a paper by Cong and Tuan in this journal, in which a counter-example calls into question the earlier results in a paper by this note's authors. Here, we show in the light of these new insights, that a wide class of terminal value problems of fractional differential equations is well posed, and we identify those cases where the well-posedness question must be regarded as open.

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Metadaten
Author:Kai Diethelm, Neville J. Ford
DOI:https://doi.org/10.1216/JIE-2018-30-3-371
Parent Title (English):Journal of Integral Equations and Applications
Document Type:Article
Language:English
Year of publication:2018
Release Date:2023/08/10
Volume:30
Issue:3
First Page:371
Last Page:376
Institutes and faculty:Fakultäten / Fakultät für angewandte Natur- und Geisteswissenschaften
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