Weak solutions for nonlinear fractional differential equations with integral boundary conditions in Banach spaces
Abstract. The aim of this paper is to investigate a class of boundary value problems for fractional differential equations involving nonlinear integral conditions. The main tool used in our considerations is the technique associated with measures of weak noncompactness.
Keywords: boundary value problem, Caputo fractional derivative, measure of weak noncompactness, Pettis integrals, weak solution.
Mathematics Subject Classification: 26A33, 34B15, 34G20.