Basic Properties Of An Eigenparameter-Dependent Q-Boundary Value Problem

This paper is devoted to study a q-fractional boundary value problem that includes q-Jackson derivative in the differential equation and an eigenvalue parameter in the boundary condition. We introduced a modified Hilbert space and a symmetric operator. We illustrated the examined boundary value problem as a spectral problem for this operator. Properties of the eigenvalues and eigenfunctions are investigated and the Green's function is constructed.