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

Hdl Handle:
http://hdl.handle.net/10034/620550
Title:
A Note on the Well-Posedness of Terminal Value Problems for Fractional Differential Equations.
Authors:
Diethelm, Kai; Ford, Neville J.
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.
Affiliation:
GNS & TU-BS, Braunschweig, Germany; Univerity of Chester
Citation:
Diethelm, F. & Ford, N. J. (2017). A note on the well-posedness of terminal value problems for fractional differential equations." To appear in Journal of Integral Equations Applications.
Publisher:
Journal of Integral Equations and Applications, Rocky Mountains Mathematics Consortium
Journal:
Journal of Integral Equations and Applications
Publication Date:
17-Jun-2017
URI:
http://hdl.handle.net/10034/620550
Additional Links:
http://projecteuclid.org/info/euclid.jiea
Type:
Article
Language:
en
ISSN:
0897-3962
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorDiethelm, Kaien
dc.contributor.authorFord, Neville J.en
dc.date.accessioned2017-07-04T08:13:15Z-
dc.date.available2017-07-04T08:13:15Z-
dc.date.issued2017-06-17-
dc.identifier.citationDiethelm, F. & Ford, N. J. (2017). A note on the well-posedness of terminal value problems for fractional differential equations." To appear in Journal of Integral Equations Applications.en
dc.identifier.issn0897-3962-
dc.identifier.urihttp://hdl.handle.net/10034/620550-
dc.description.abstractThis 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.en
dc.language.isoenen
dc.publisherJournal of Integral Equations and Applications, Rocky Mountains Mathematics Consortiumen
dc.relation.urlhttp://projecteuclid.org/info/euclid.jieaen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectfractional differential equationsen
dc.subjectboundary value problemsen
dc.subjectexistence and uniquenessen
dc.subjectwell-posednessen
dc.titleA Note on the Well-Posedness of Terminal Value Problems for Fractional Differential Equations.en
dc.typeArticleen
dc.contributor.departmentGNS & TU-BS, Braunschweig, Germany; Univerity of Chesteren
dc.identifier.journalJournal of Integral Equations and Applicationsen
dc.date.accepted2017-06-07-
or.grant.openaccessYesen
rioxxterms.funderUoCen
rioxxterms.identifier.projectunfundeden
rioxxterms.versionAMen
rioxxterms.licenseref.startdate2217-07-05-
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