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A Note on the Well-Posedness of Terminal Value Problems for Fractional Differential Equations.

Diethelm, Kai
; 
Ford, Neville J.
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GNS & TU-BS, Braunschweig, Germany; Univerity of Chester
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Publication Date
2018-11-08
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Mathematics
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Abstract
This note is intended to clarify some im- portant points about the well-posedness of terminal value problems for fractional di erential equations. It follows the recent publication of a paper by Cong and Tuan in this jour- nal 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.
Citation
Diethelm, F. & Ford, N. J. (2018). A note on the well-posedness of terminal value problems for fractional differential equations." Journal of Integral Equations Applications, 30(3), 371-376.
Publisher
Rocky Mountain Mathematics Consortium
Journal
Journal of Integral Equations and Applications
Research Unit
URI
http://hdl.handle.net/10034/620550
DOI
10.1216/JIE-2018-30-3-371
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PubMed Central ID
Type
Article
Language
en
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Series/Report no.
ISSN
0897-3962
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http://projecteuclid.org/info/euclid.jiea
https://projecteuclid.org/euclid.jiea/1541668118