Quantum difference Langevin equation with multi-quantum numbers q-derivative nonlocal conditions

Surang Sitho, Sorasak Laoprasittichok, Sotiris K. Ntouyas, Jessada Tariboon
2016 Journal of Nonlinear Science and its Applications  
In the present paper, we study a new class of boundary value problems for Langevin quantum difference equations with multi-quantum numbers q-derivative nonlocal conditions. Some new existence and uniqueness results are obtained by using standard fixed point theorems. The existence and uniqueness of solutions is established by Banach's contraction mapping principle, while the existence of solutions is derived by using Krasnoselskii's fixed point theorem and Leray-Schauder's nonlinear
more » ... nlinear alternative. Examples illustrating the results are also presented.
doi:10.22436/jnsa.009.06.04 fatcat:2daerbbirjd3bkajbaxtuk7cdu