Geodesic
Residual power series method for time-fractional Schrödinger equations
Zhang, Yu1 ; Kumar, Amit2 ; Kumar, Sunil2 ; Baleanu, Dumitru3 ; Yang, Xiao-Jun4
1 College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450000, China
2 Department of Mathematics, National Institute of Technology, Jamshedpur-831014, Jharkhand, India
3 Department of Mathematics, Cankya University, Ogretmenler Cad. 14, Balgat-06530, Ankara, Turkey;Institute of Space Sciences, Magurele-Bucharest, Romania
4 School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, China
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 11, p. 5821-5829.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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).
DOI : 10.22436/jnsa.009.11.10
Classification : 47H10, 26A33, 34A08, 34A34
Keywords: residual power series, fractional power series, Fractional Schrödinger equation, exact solution.

Zhang, Yu 1 ; Kumar, Amit 2 ; Kumar, Sunil 2 ; Baleanu, Dumitru 3 ; Yang, Xiao-Jun 4

1 College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450000, China
2 Department of Mathematics, National Institute of Technology, Jamshedpur-831014, Jharkhand, India
3 Department of Mathematics, Cankya University, Ogretmenler Cad. 14, Balgat-06530, Ankara, Turkey;Institute of Space Sciences, Magurele-Bucharest, Romania
4 School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, China 
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     title = {Residual power series method for time-fractional {Schr\"odinger} equations},
     journal = {Journal of nonlinear sciences and its applications},
     pages = {5821-5829},
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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 its applications, Tome 9 (2016) no. 11, p. 5821-5829. doi : 10.22436/jnsa.009.11.10. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.11.10/

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