Residual power series method for time-fractional Schrödinger equations
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Authors
Yu Zhang
- College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450000, China.
Amit Kumar
- Department of Mathematics, National Institute of Technology, Jamshedpur-831014, Jharkhand, India.
Sunil Kumar
- Department of Mathematics, National Institute of Technology, Jamshedpur-831014, Jharkhand, India.
Dumitru Baleanu
- Department of Mathematics, Cankya University, Ogretmenler Cad. 14, Balgat-06530, Ankara, Turkey.
- Institute of Space Sciences, Magurele-Bucharest, Romania.
Xiao-Jun Yang
- School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, China.
Abstract
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).
Share and Cite
ISRP Style
Yu Zhang, Amit Kumar, Sunil Kumar, Dumitru Baleanu, Xiao-Jun Yang, Residual power series method for time-fractional Schrödinger equations, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 11, 5821--5829
AMA Style
Zhang Yu, Kumar Amit, Kumar Sunil, Baleanu Dumitru, Yang Xiao-Jun, Residual power series method for time-fractional Schrödinger equations. J. Nonlinear Sci. Appl. (2016); 9(11):5821--5829
Chicago/Turabian Style
Zhang, Yu, Kumar, Amit, Kumar, Sunil, Baleanu, Dumitru, Yang, Xiao-Jun. "Residual power series method for time-fractional Schrödinger equations." Journal of Nonlinear Sciences and Applications, 9, no. 11 (2016): 5821--5829
Keywords
- residual power series
- fractional power series
- Fractional Schrödinger equation
- exact solution.
MSC
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