On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives |
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| Authors: | Thabet Abdeljawad Maraaba Fahd Jarad Dumitru Baleanu |
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| Affiliation: | 1.Department of Mathematics and Computer Sciences,?ankaya University,Ankara,Turkey;2.Institute of Space Sciences,Magurele,Romania |
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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. |
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| Keywords: | fractional Caputo derivative C_r-condition delay Lipschitz |
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