JournalsdmVol. 21pp. 1503–1514

Fractional analogue of Sturm–Liouville operator

  • Niyaz Tokmagambetov

    Imperial College London Institute of Mathematics 180 Queen's Gate and Mathematical Modeling London, SW7 2AZ Pushkin street 125 United Kingdom 050010

  • Berikbol T. Torebek

    Almaty and Kazakhstan Al-Farabi Kazakh National
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Abstract

In this paper we study a symmetric fractional differential operator of order , . Using the extension theory a class of self-adjoint problems generated by the fractional Sturm–Liouville equation is described.

Cite this article

Niyaz Tokmagambetov, Berikbol T. Torebek, Fractional analogue of Sturm–Liouville operator. Doc. Math. 21 (2016), pp. 1503–1514

DOI 10.4171/DM/X7