Weak Solutions for Nonlinear Fractional Differential Equation with Fractional Separated Boundary Conditions in Banach Spaces

Abstract

This paper deals with nonlinear fractional differential equation
with fractional separated boundary conditions. We investigate the
existence of weak solutions in Banach spaces. To obtain such result
we apply an appropriate fixed point theorem and the technique of
measures of weak noncompactness. An example illustrating the theory
is given.