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A fractional approach to the Sturm-Liouville problem

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Central European Journal of Physics

Abstract

The objective of this paper is to show an approach to the fractional version of the Sturm-Liouville problem, by using different fractional operators that return to the ordinary operator for integer order. For each fractional operator we study some of the basic properties of the Sturm-Liouville theory. We analyze a particular example that evidences the applicability of the fractional Sturm-Liouville theory.

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Authors and Affiliations

  1. Facultad de Matemáticas, Universidad de La Laguna, 38271, La Laguna, Tenerife, Spain

    Margarita Rivero & Juan J. Trujillo

  2. Estadística e Investigación Operativa, Centro Universitario de la Defensa Área de Matemáticas, 50090, Zaragoza, Spain

    M. Pilar Velasco

Authors
  1. Margarita Rivero
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  2. Juan J. Trujillo
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  3. M. Pilar Velasco
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Corresponding author

Correspondence to M. Pilar Velasco.

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Rivero, M., Trujillo, J.J. & Velasco, M.P. A fractional approach to the Sturm-Liouville problem. centr.eur.j.phys. 11, 1246–1254 (2013). https://doi.org/10.2478/s11534-013-0216-2

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  • DOI: https://doi.org/10.2478/s11534-013-0216-2

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