In this chapter, we address the question: “Where do we go from here?” In the short term, we have the immediate concern of creating a set of devices with long effective lifetimes that can be put in production for broad commercial and industrial use. A next step could be the development of a device with dynamical order so that the fractional-order can be tuned on a real-time basis. Such development could lead to a generalization of Ohm’s law to include nonlinear memory devices. This all represents a huge array of challenges that will require skills across the broadest possible range of subject matter. To achieve this end, we need to incorporate fractional-order analysis into mainstream education, not just for the sake of fractional calculus, but to introduce the general population to the full power of the methods to addressing complex problems.

Future directions

Caponetto R.
;
2017

Abstract

In this chapter, we address the question: “Where do we go from here?” In the short term, we have the immediate concern of creating a set of devices with long effective lifetimes that can be put in production for broad commercial and industrial use. A next step could be the development of a device with dynamical order so that the fractional-order can be tuned on a real-time basis. Such development could lead to a generalization of Ohm’s law to include nonlinear memory devices. This all represents a huge array of challenges that will require skills across the broadest possible range of subject matter. To achieve this end, we need to incorporate fractional-order analysis into mainstream education, not just for the sake of fractional calculus, but to introduce the general population to the full power of the methods to addressing complex problems.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/371013
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