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Zbl 1197.34004
Kou, Chunhai; Liu, Jian; Ye, Yan
Existence and uniqueness of solutions for the Cauchy-type problems of fractional differential equations. (English)
[J] Discrete Dyn. Nat. Soc. 2010, Article ID 142175, 15 p. (2010). ISSN 1026-0226; ISSN 1607-887X/e

The authors are concerned with presenting existence and uniqueness results for Cauchy-type problems for fractional differential equations based on the Riemann-Liouville or Hadamard fractional derivative. The authors present a sequence of lemmas providing basic theory and draw attention to new features in their work that highlight differences from the published results in the monograph by {\it A. A. Kilbas, H. M. Srivastava} and {\it J. J. Trujillo} [Theory and applications of fractional differential equations. Amsterdam: Elsevier (2006; Zbl 1092.45003)]. Examples are presented that highlight these differences in the theoretical results.
[Neville Ford (Chester)]

MSC 2000:: *34A08
34A12 Initial value problems for ODE

Keywords: existence; uniqueness; Cauchy problem; fractional differential equations; Riemann-Liouville derivative

Citations: Zbl 1092.45003

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