Existence results for nonlinear neutral generalized Caputo fractional differential equations

摘要

This paper is devoted to proving some existence and uniqueness of solutions to a category of boundary value problems for a nonlinear neutral generalized Caputo fractional differential equation with generalized Riemann-Liouville integral boundary conditions. We apply a variety assort of fixed point theorems such as Krasnoselskii and Banach. We also establish the Ulam-Hyers stability results for the addressed problem. Further, an example illustrate our acquired results.