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An existence result for a nonlocal fractional differential problem. (English) Zbl 1101.34001

Abstract: The authors investigate a family of fractional differential problems of weighted Cauchy type. They use Schauder’s fixed-point theorem to obtain a local existence result for some classes of nonlinear functions involving power function.

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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