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The paper is devoted to the study of the Cauchy problem for a nonlinear
differential equation of complex order with the Caputo fractional derivative.
The equivalence of this problem and a nonlinear Volterra integral equation
in the space of continuously differentiable functions is established. On the
basis of this result, the existence and uniqueness of the solution of the
considered Cauchy problem is proved. The approximate-iterative method
by Dzjadyk is used to obtain the approximate solution...
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