Hamid Baghani - Department of Mathematics, Faculty of Mathematics,University of Sistan and Baluchestan, Zahedan, Iran

The solvability of initial value problems for nonlinear Langevin equation involving two fractional orders are discussed in this paper. An existence and uniqueness result for the solution is obtained using an interesting xed point theorem. An illustrative example is also discussed

Fractional derivative, Three-point boundary conditions, Iterative method,Existence and uniqueness, Fractional Langevin equation.