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2018 A note on the well-posedness of terminal value problems for fractional differential equations
Kai Diethelm, Neville J. Ford
J. Integral Equations Applications 30(3): 371-376 (2018). DOI: 10.1216/JIE-2018-30-3-371

Abstract

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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Kai Diethelm. Neville J. Ford. "A note on the well-posedness of terminal value problems for fractional differential equations." J. Integral Equations Applications 30 (3) 371 - 376, 2018. https://doi.org/10.1216/JIE-2018-30-3-371

Information

Published: 2018
First available in Project Euclid: 8 November 2018

zbMATH: 06979945
MathSciNet: MR3874006
Digital Object Identifier: 10.1216/JIE-2018-30-3-371

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Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.30 • No. 3 • 2018
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