PROBLEM FOR A HYPERBOLIC FRACTIONAL EQUATION WITH THE NON-DEGENERATE INTEGRAL BOUNDARY CONDITIONS

Abstract

In this work, we consider a hyperbolic fractional problem with non-degenerate integral boundary conditions. By using the method of Faedo-Galerkin, we demonstrate the existence of a solution of the considered problem by passing to the limit. A new result is given by proving the uniqueness of the solution based on assumptions for a similar problem.