RT Journal Article T1 On fractional Langevin equation involving two fractional orders in different intervals A1 Baghani, Hamid A1 Nieto Roig, Juan José K1 Caputo fractional derivative K1 Initial boundary conditions K1 Existence and uniqueness K1 Fractional Langevin equation AB In this paper, we study a nonlinear Langevin equation involving two fractional orders α ∈ (0; 1] and β ∈ (1; 2] with initial conditions. By means of an interesting fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for the fractional equations. Some illustrative numerical examples are also discussed PB Vilnius University Press SN 1392-5113 YR 2019 FD 2019 LK http://hdl.handle.net/10347/21023 UL http://hdl.handle.net/10347/21023 LA eng NO Baghani H. and Nieto J. (2019) “On fractional Langevin equation involving two fractional orders in different intervals”, Nonlinear Analysis: Modelling and Control, 24(6), 884–897. doi: 10.15388/NA.2019.6.3 DS Minerva RD 4 may 2026