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  1. 1 Rivero M.

  2. 1 Trujillo J.

  3. 1 Velasco M.

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A fractional approach to the Sturm-Liouville problem

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Rivero M., Trujillo J., Velasco M.
Open Physics
|
2013
|
vol. 11
|
issue 10
1246-1254
EN
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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