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. (C) 2011 Elsevier B.V. All rights reserved.
On the fractional counterpart of the higher-order equations / D'Ovidio, Mirko. - In: STATISTICS & PROBABILITY LETTERS. - ISSN 0167-7152. - 81:12(2011), pp. 1929-1939. [10.1016/j.spl.2011.08.004]
On the fractional counterpart of the higher-order equations
D'OVIDIO, MIRKO
2011
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. (C) 2011 Elsevier B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
