Nonlinear sequential fractional boundary value problems involving generalized ψ-Caputo fractional derivatives

This paper is devoted to study the nonlinear sequential fractional boundary value problems involving generalized ?-Caputo derivatives with nonlocal conditions. We investigate Green function and some of its properties, from which we obtain a new Lyapunov-type inequality for our problem. A lower bound possible eigenvalues problem derived. Furthermore, apply properties existence results It worth mentioning that still work source functions including singularities.