摘要：This paper studies the spectral problem of a class of fractional differential equations from nonlocal continuum mechanics. By applying the spectral theory of compact self-adjoint operators in Hilbert spaces, we show that the spectrum of this problem consists of only countable real eigenvalues with finite multiplicity and the corresponding eigenfunctions form a complete orthogonal system. Furthermore, we obtain the lower bound of the eigenvalues. MSC:26A33, 34L15, 34B10, 47E05.
关键词：fractional differential equation ; self-adjoint ; eigenfunction ; eigenvalue problem
