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In this paper we discuss the solvability of Langevin equations with twoHadamard fractional derivatives. The method of this discussion is to study thesolutions of the equivalent Volterra integral equation in terms of Mittag-Leffler functions. The existence and uniqueness results are established byusing Schauder fixed point theorem and Banach fixed point theorem respectively.An example is given to illustrate the main results.

Solvability of Langevin equations with two Hadamard fractional derivatives via Mittag-Leffler functions