# FRACTIONAL EQUATIONS AND A THEOREM OF BROUWER-SCHAUDER TYPE

@inproceedings{Burton2013FRACTIONALEA, title={FRACTIONAL EQUATIONS AND A THEOREM OF BROUWER-SCHAUDER TYPE}, author={Theodore A. Burton}, year={2013} }

Brouwer's fixed point theorem states that a continuous mapping of a closed, bounded, convex, nonempty set M R n into itself has a fixed point. Schauder's theorem states that a continuous mapping of a closed, convex, nonempty set M in a Banach space has a fixed point, provided that M is mapped into a compact subset of itself. In this brief note we point out that for a large class of dierential equations which are transformed into integral equations defining the mapping, then that last…

## 10 Citations

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