Solutions for a class of fractional Langevin equations with integral and anti-periodic boundary conditions

Abstract

Abstract In this paper, we consider a class of fractional Langevin equations with integral and anti-periodic boundary conditions. By using some fixed point theorems and the Leray–Schauder degree theory, several new existence results of solutions are obtained.

Keywords

• Fractional Langevin equation
• Mixed boundary condition
• Leray–Schauder degree theory
• Fixed point theorem