Langevin equation in terms of conformable differential operators

Abstract

In this paper, we establish sufficient criteria for the existence of solutions for a new kind of nonlinear Langevin equation involving conformable differential operators of different orders and equipped with integral boundary conditions. We apply the modern tools of functional analysis to derive the desired results for the problem at hand. Examples are constructed for the illustration of the obtained results.

Keywords

• langevin equation
• conformable differential operators
• integral boundary conditions
• existence
• fixed point
• primary 34b15
• secondary 34a34, 34b10