КРАЕВАЯ ЗАДАЧА ДЛЯ ДИФФЕРЕНЦИАЛЬНОГО УРАВНЕНИЯ С ПРОИЗВОДНЫМИ ДРОБНОГО ПОРЯДКА С РАЗЛИЧНЫМИ НАЧАЛАМИ

Л.М. Энеева & L.M. Eneeva
We study a spectral problem for an ordinary differential equation with composition of fractional order differentiation operators in Riemann-Liouville and Caputo senses with different origins. We prove that for the problem under study there exist infinite sequences of eigenvalues and eigenfunctions. All of the eigenvalues are real and positive, and the eigenfunctions form an orthogonal basis in L2(0,1).