Well-posedness of a triply coupled system of fractional Langevin equations with closed boundary conditions

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Abstract

In this paper, we investigated a class of nonlinear triply coupled systems of fractional Langevin equations subject to closed boundary conditions. The existence of solutions to the proposed boundary value problem was first established by applying Krasnoselskii’s fixed point theorem. Furthermore, the uniqueness of the solution was obtained via the Banach contraction mapping principle. To demonstrate the effectiveness of the theoretical results, illustrative examples are provided.

Keywords

triply coupled system / fractional Langevin equation / closed boundary condition / existence and uniqueness / fixed point theorem

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