Geodesic
Fractional analogue of Sturm–Liouville operator
Documenta mathematica, Tome 21 (2016), pp. 1503-1514
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In this paper we study a symmetric fractional differential operator of order 2α, (1/21). Using the extension theory a class of self-adjoint problems generated by the fractional Sturm–Liouville equation is described.
DOI : 10.4171/dm/x7
Classification : 26A33, 34L10
Mots-clés : self-adjoint operator, symmetric operator, fractional Sturm-Liouville operator, fractional differential equation, boundary value problem, boundary condition, Caputo operator, Riemann-Liouville operator 
@article{10_4171_dm_x7,
     author = {Niyaz Tokmagambetov and Berikbol T. Torebek},
     title = {Fractional analogue of {Sturm{\textendash}Liouville} operator},
     journal = {Documenta mathematica},
     pages = {1503--1514},
     year = {2016},
     volume = {21},
     doi = {10.4171/dm/x7},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/x7/}
}
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Niyaz Tokmagambetov; Berikbol T. Torebek. Fractional analogue of Sturm–Liouville operator. Documenta mathematica, Tome 21 (2016), pp. 1503-1514. doi: 10.4171/dm/x7

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