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Existence results for fractional functional differential inclusions with infinite delay and applications to control theory. (English) Zbl 1149.26010

The authors study the existence of solutions of certain initial value problems for non-linear fractional differential equations with infinity delay, involving the Riemann-Liouville derivative. The approach used by the authors is the Leray-Schauder type for multivalued operators.

MSC:

26A33 Fractional derivatives and integrals
34A60 Ordinary differential inclusions
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