Geodesic
Fractional analogue of Sturm-Liouville operator
Documenta mathematica, Tome 21 (2016), pp. 1503-1514.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

In this paper we study a symmetric fractional differential operator of order $2\alpha$, $(1/2\alpha1)$. Using the extension theory a class of self-adjoint problems generated by the fractional Sturm-Liouville equation is described.
Classification : 26A33, 34L10
Keywords: self-adjoint operator, symmetric operator, fractional Sturm-Liouville operator, fractional differential equation, boundary value problem, boundary condition, Caputo operator, Riemann-Liouville operator 
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     title = {Fractional analogue of {Sturm-Liouville} operator},
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Tokmagambetov, Niyaz; Torebek, Berikbol T. Fractional analogue of Sturm-Liouville operator. Documenta mathematica, Tome 21 (2016), pp. 1503-1514. http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a5/