Existence and uniqueness of solutions for the Cauchy-type problems of fractional differential equations (Q965750)

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 \textit{A. A. Kilbas, H. M. Srivastava} and \textit{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.