Existence and uniqueness results for nonlinear fractional Langevin integro-differential equations with boundary conditions

Abstract

This paper is devoted to the study of nonlinear fractional Langevin inte- gro differential equations with boundary conditions. Some effective results concern- ing the existence and uniqueness are obtained by applying the Banach contraction mapping principle and the Schauder fixed point theorem. An example is presented illustrating the effectiveness of the theoretical results.