Sunto
Si generalizza la soluzione di equazioni differenziali di ordine frazionario al caso in cui le derivate frazionarie sono integrate rispetto all’ordine di differenziazione. La soluzione formale è trovata a mezzo della Transformata di Laplace. Le soluzioni delle equazioni integrodifferenziali, definite a mezzo delle derivate di ordine frazionario e dei loro integrali rispetto all’ordine di differenziazione, sono discusse a mezzo della teoria dei filtri.
Abstract
The solution of differential equations of fractional order is generalized to the case when the fractional order derivatives are integrated with respect to the order of differentiation. The formal solution is found by means of the Laplace Transform. The solutions of the integro-differential equations, defined by means of derivatives of fractional order and of their integrals with respect to the order of differentiation, are also discussed in terms of filtering.
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Caputo, M. Mean fractional-order-derivatives differential equations and filters. Ann. Univ. Ferrara 41, 73–84 (1995). https://doi.org/10.1007/BF02826009
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DOI: https://doi.org/10.1007/BF02826009