EXISTENCE RESULTS FOR NONLOCAL DIRICHLET CONDITIONS OF NONLINEAR LANGEVIN EQUATION WITH TWO DIFFERENT FRACTIONAL ORDERS
In this paper, a new type of Langevin equation with two different fractional orders is considered. By using Leray-Schauder’s fixed point theorem and Banach’s fixed point theorem, we obtain the existence and uniqueness results of the solution.
nonlinear fractional Langevin equation, nonlocal Dirichlet conditions, two different fractional orders, existence, fixed point theorem.
