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In the paper we study fractional systems with generalized Riemann-Liouville derivatives. A theorem on the existence and uniqueness of a solution to a fractional nonlinear ordinary Cauchy problem is proved. Next a formula for the solution to a linear problem of such a type is presented.doi:10.14232/ejqtde.2016.1.50 fatcat:wd5oy5wi5zfpvoz2bq7qz7si3m