On Multi Order Nonlinear Langevin Type of $$\mathbb {FDE}$$ Subject to Multi-Point Boundary Conditions

Abstract This research paper is about studying complicated equations called multi-order nonlinear fractional Langevin differential equations. These equations are analyzed when they have specific conditions at multiple points. The paper uses two mathematical tools, the Banach contraction principle and Schaefer’s fixed point theorem, to show that there is only one solution for the given equation. Moreover, we thoroughly study and analyze the stability of the solutions. To help understand the ideas we talked about, we will give related examples.