Existence of the class of nonlinear hybrid fractional langevin quantum differential equation with dirichlet boundary conditions

Abstract

In this paper, we investigate the existence results for nonlinear fractional q-difference equations with two different fractional orders supplemented with the Dirichlet boundary condi-tions. Our main existence results are obtained by applying the contraction mapping principle and Krasnoselskii’s fixed point theorem. An illustrative example is also discussed.