On the fractional counterpart of the higher-order equations

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.

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Year of publication:	2011
Authors:	D’Ovidio, Mirko
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 81.2011, 12, p. 1929-1939
Publisher:	Elsevier
Subject:	Fractional equation \| Higher-order equation \| Subordinator \| Inverse process \| Pseudo-process

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010576152