Ulam stability and data dependence for fractional differential equations with Caputo derivative

In this paper, Ulam stability and data dependence for fractional differential equations with Caputo fractional derivative of order $\alpha$ are studied. We present four types of Ulam stability results for the fractional differential equation in the case of $0

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Bibliographic Details
Published in:Electronic journal of qualitative theory of differential equations 2011-01, Vol.2011 (63), p.1-10
Main Authors: Wang, JinRong, Lv, Linli, Zhou, Yong
Format: Article
Language:English
Subjects:
caputo derivative
data dependence
fractional differential equations
gronwall inequality
ulam stability
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Description
Summary:In this paper, Ulam stability and data dependence for fractional differential equations with Caputo fractional derivative of order $\alpha$ are studied. We present four types of Ulam stability results for the fractional differential equation in the case of $0
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2011.1.63