On the fractional counterpart of the higher-order equations

D’Ovidio, Mirko

Statistics & Probability Letters, 2011, vol. 81, issue 12, 1929-1939

Abstract: In this work, we study the solutions of some fractional higher-order equations. Special cases in which time-fractional derivatives take integer values are also examined and the explicit solutions are presented. Such solutions can be expressed by means of the transition laws of stable subordinators and their inverse processes. In particular, we establish connections between fractional and higher-order equations.

Keywords: Fractional equation; Higher-order equation; Subordinator; Inverse process; Pseudo-process (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:81:y:2011:i:12:p:1929-1939

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DOI: 10.1016/j.spl.2011.08.004

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