Abstract:
This paper is devoted to the description of symmetric operators and the justification of Green's formula for a fractional analogue of the Sturm–Liouville operator of order $ 2\alpha $, where $ \frac {1}{2}<\alpha <1$.
Key words and phrases:
self-adjoint extensions, Green's formula, differential equation of fractional order, boundary value problem, fractional Sturm–Liouville operator.
Citation:
N. E. Tokmagambetov, B. T. Torebek, “Symmetric differential operators of fractional order and their extensions”, Tr. Mosk. Mat. Obs., 79, no. 2, MCCME, M., 2018, 209–219; Trans. Moscow Math. Soc., 2018, 177–185