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Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions. (English. Russian original) Zbl 1160.34301

Differ. Equ. 41, No. 1, 84-89 (2005); translation from Differ. Uravn. 41, No. 1, 82-86 (2005).
The authors present interesting results on existence and uniqueness of fractional non-linear Cauchy-type problem involving the so-called Caputo Derivative.

MSC:

34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
26A33 Fractional derivatives and integrals
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