Residual Power Series Method for Time-Fractional Schrodinger Equations
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Abstract
In this paper, the residual power series method (RPSM) is effectively applied to find the exact solutions of fractional-order time dependent Schrodinger 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). (C) 2016 All rights reserved.
Description
Kumar, Dr. Sunil/0000-0003-0620-1068; Yang, Xiao-Jun/0000-0003-0009-4599
Keywords
Fractional Schrodinger Equation, Residual Power Series, Fractional Power Series, Exact Solution, fractional Schrödinger equation, exact solution, fractional power series, NLS equations (nonlinear Schrödinger equations), Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Fractional partial differential equations, residual power series
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Zhang, Yu; Kumar, Amit; Kumar, Sunil; et al., "Residual power series method for time-fractional Schrodinger equations", Journal of Nonlinear Sciences and Applications, Vol. 9, No. 11, pp. 5821-5829, (2016).
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OpenCitations Citation Count
57
Volume
9
Issue
11
Start Page
5821
End Page
5829
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