Showing papers by "Kai Diethelm published in 2007"
Journal Article•
TL;DR: In this article, the authors consider ordinary fractional differential equations with Caputo-type differential operators with smooth right-hand sides and prove that these equations cannot have smooth solutions, and give a full characterization of the situations where smooth solutions exist.
Abstract: We consider ordinary fractional differential equations with Caputo-type differential operators with smooth right-hand sides. In various places in the literature one can find the statement that such equations cannot have smooth solutions. We prove that this is wrong, and we give a full characterization of the situations where smooth solutions exist. The results can be extended to a class of weakly singular Volterra integral equations.
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