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The only purpose of this paper is to show how fractional calculus can contribute to the development of the very interesting and promising field of micro and nano machines, from the deeper understanding of the world in which they work, to their design and control. The essentials of Brownian motors and untethered swimming microrobots are briefly presented, and two naive examples on how fractional calculus can contribute to open new perspectives are given.

There’s plenty of fractional at the bottom, I: Brownian motors and swimming microrobots