On the Existence and the Uniqueness Theorem for Fractional Differential Equations With Bounded Delay Within Caputo Derivatives
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Green Open Access
Yes
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1
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Abstract
Local and global existence and uniqueness theorems for a functional delay fractional differential equation with bounded delay are investigated. The continuity with respect to the initial function is proved under Lipschitz and the continuity kind conditions are analyzed.
Description
Abdeljawad, Thabet/0000-0002-8889-3768; Jarad, Fahd/0000-0002-3303-0623
Keywords
Fractional Caputo Derivative, C-R-Condition, Delay, Lipschitz, C r -Condition, Fractional derivatives and integrals
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Abdeljawad, T., Jarad, F., Baleanu, D. (2008). On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives. Science in China Series A-Mathematics, 51(10), 1775-1786. http://dx.doi.org/10.1007/s11425-008-0068-1
WoS Q
Scopus Q
OpenCitations Citation Count
71
Volume
51
Issue
10
Start Page
1775
End Page
1786
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CrossRef : 32
Scopus : 85
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3
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