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Existence of the mild solution for fractional semilinear initial value problems. (English) Zbl 1160.34300

The authors study existence and uniqueness of mild solution for the semilinear initial value problems of non-integer order.

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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