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On the fractional counterpart of the higher-order equations

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  • D’Ovidio, Mirko

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.

Suggested Citation

  • D’Ovidio, Mirko, 2011. "On the fractional counterpart of the higher-order equations," Statistics & Probability Letters, Elsevier, vol. 81(12), pages 1929-1939.
  • Handle: RePEc:eee:stapro:v:81:y:2011:i:12:p:1929-1939
    DOI: 10.1016/j.spl.2011.08.004
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    References listed on IDEAS

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    1. Hochberg, Kenneth J. & Orsingher, Enzo, 1994. "The arc-sine law and its analogs for processes governed by signed and complex measures," Stochastic Processes and their Applications, Elsevier, vol. 52(2), pages 273-292, August.
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