Existence results for Langevin equation with Riesz-Caputo fractional derivative

Abstract

In this paper, we examine existence and uniqueness of solutions for nonlinear Langevin equation involving Riesz-Caputo fractional derivatives, with a class of anti-periodic boundary conditions. By applying a variety of fixed point theorems as Banach, Schaefer and Krasnoselskii fixed point theorems. Three examples are given to illustrate main results.

Keywords

• langevin equation
• riesz-caputo derivative
• fixed point theorems