TY - JOUR AU - Zhang, Yu AU - Kumar, Amit AU - Kumar, Sunil AU - Baleanu, Dumitru AU - Yang, Xiao-Jun PY - 2016 TI - Residual power series method for time-fractional Schrödinger equations JO - Journal of Nonlinear Sciences and Applications SP - 5821--5829 VL - 9 IS - 11 AB - In this paper, the residual power series method (RPSM) is effectively applied to find the exact solutions of fractional-order time dependent Schrödinger equations. The competency of the method is examined by applying it to the several numerical examples. Mainly, we find that our solutions obtained by the proposed method are completely compatible with the solutions available in the literature. The obtained results interpret that the proposed method is very effective and simple for handling different types of fractional differential equations (FDEs). SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.009.11.10 DO - 10.22436/jnsa.009.11.10 ID - Zhang2016 ER - TY - JOUR TI - The application of homotopy analysis method to nonlinear equations arising in heat transfer AU - S. Abbasbandy JO - Phys. Lett. A PY - 2006 DA - 2006// VL - 360 ID - Abbasbandy2006 ER - TY - JOUR TI - Series solution of fuzzy differential equations under strongly generalized differentiability AU - O. Abu Arqub JO - J. Adv. Res. Appl. Math. PY - 2013 DA - 2013// VL - 5 ID - Arqub2013 ER - TY - BOOK TI - Theory and applications of fractional differential equations, North- Holland Mathematics Studies AU - A. A. Kilbas AU - H. M. Srivastava AU - J. J. Trujillo PB - Elsevier Science B.V., PY - 2006 DA - 2006// CY - Amsterdam ID - Kilbas 2006 ER - TY - JOUR TI - A numerical study for the solution of time fractional nonlinear shallow water equation in oceans AU - S. Kumar JO - Z. 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