Residual power series method for time-fractional Schrödinger equations


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).


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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


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