Baleanu, DumitruMorales-Delgado, V. F.Gomez-Aguilar, J. F.Taneco-Hernandez, M. A.Baleanu, DumitruMatematik2020-04-032020-04-0320180030-4026https://doi.org/10.1016/j.ijleo.2018.01.107Taneco-Hernandez, Marco Antonio/0000-0001-6650-1105; Gomez-Aguilar, J.F./0000-0001-9403-3767In this paper the modified homotopy analysis transform method is applied to obtain approximate analytical solutions of the time-fractional non-linear Schrodinger equation. The fractional derivative is described in the Liouville-Caputo sense. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms. New exact solutions are constructed under constraint conditions. Employing theoretical parameters, we present some numerical simulations. (C) 2018 Elsevier GmbH. All rights reserved.eninfo:eu-repo/semantics/closedAccessLiouville-Caputo DerivativeModified Homotopy Analysis Transform MethodExact SolutionsUltra-Short Optical SolitonsArticle1621710.1016/j.ijleo.2018.01.1072-s2.0-85042406510WOS:000430753800001Q2Q1