Geodesic
Numerical Approximation of Matrix Functions for Fractional Differential Equations
Bollettino della Unione matematica italiana, Série 9, Tome 6 (2013) no. 3, pp. 793-815.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In this paper relevant insights are given on the connection between matrix functions and the solution of differential equations of fractional order. This nexus only recently has been disclosed and is gaining weight in the current research. We present here a review on the basics of fractional calculus and matrix function approximations, together with the main results my coauthors and me have given to the subject in the recent works [13, 14, 15, 16, 32].
In questo lavoro si presentano delle connessioni rilevanti tra le funzioni di matrice e la soluzione di equazioni differenziali di ordine frazionario. Questo nesso è stato notato solo recentemente ed ora riscuote notevole interesse. Si presenta qui una rassegna dei fondamenti del calcolo frazionario e della teoria dell'approssimazione di funzioni di matrice; si mostrano inoltre i contributi che, insieme ad i miei coautori, abbiamo recentemente elaborato su questo argomento [13, 14, 15, 16, 32]. 
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Popolizio, Marina. Numerical Approximation of Matrix Functions for Fractional Differential Equations. Bollettino della Unione matematica italiana, Série 9, Tome 6 (2013) no. 3, pp. 793-815. http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_3_a20/

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