Fractional Langevin equation with anti-periodic boundary conditions

چکیده مقاله

In this work, we investigate existence and uniqueness of solutions for nonlinear Langevin equation involving two fractional orders with anti-periodic boundary conditions. Our analysis relies on the coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces. An example illustrating our approach is also discussed. © 2018 Elsevier Ltd