Abstract:
For an ordinary differential equation of fractional order, a problem with general conditions is formulated and solved. A representation of a solution of the problem under study is found. The uniqueness theorem of a solution is proved. The boundary conditions are given in the form of linear functionals, which allows us to cover a fairly wide class of linear local and non-local conditions.
Citation:
L. Kh. Gadzova, “Generalized boundary problem for an ordinary differential equation of fractional order”, Chelyab. Fiz.-Mat. Zh., 7:1 (2022), 20–29