Abstract
In this chapter we present a recursive-operational method for studying fractional continuous-time linear systems. The approach that we follow is an algebraic version of the usual convolution product. With it, we are able to compute the output of fractional linear systems. The method is recursive in the sense that we can add or remove (pseudo-) poles or zeros individually. The performance and accuracy of the method are illustrated by numerical examples. The procedure can be used also in nonlinear systems. To illustrate this feature we solve the fractional version of the logistic equation.
Original language | English |
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Title of host publication | Applications in Engineering, Life and Social Sciences, Part B |
Publisher | De Gruyter |
Pages | 119-147 |
Number of pages | 29 |
ISBN (Electronic) | 9783110571929 |
ISBN (Print) | 9783110570922 |
DOIs | |
Publication status | Published - 1 Jan 2019 |
Keywords
- Fractional derivative
- Fractional systems
- Operational calculus