Residual Power Series Method for Time-Fractional Schrodinger Equations
| dc.contributor.author | Kumar, Amit | |
| dc.contributor.author | Kumar, Sunil | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Yang, Xiao-Jun | |
| dc.contributor.author | Zhang, Yu | |
| dc.date.accessioned | 2020-04-15T20:58:13Z | |
| dc.date.accessioned | 2025-09-18T16:07:37Z | |
| dc.date.available | 2020-04-15T20:58:13Z | |
| dc.date.available | 2025-09-18T16:07:37Z | |
| dc.date.issued | 2016 | |
| dc.description | Kumar, Dr. Sunil/0000-0003-0620-1068; Yang, Xiao-Jun/0000-0003-0009-4599 | en_US |
| dc.description.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. | en_US |
| dc.description.sponsorship | State Key Research Development Program of the People's Republic of China [2016YFC0600705]; Priority Academic Program Development of Jiangsu Higher Education Institutions | en_US |
| dc.description.sponsorship | This work is supported by the State Key Research Development Program of the People's Republic of China (Grant No. 2016YFC0600705) and the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD2014). | en_US |
| dc.identifier.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). | en_US |
| dc.identifier.doi | 10.22436/jnsa.009.11.10 | |
| dc.identifier.issn | 2008-1898 | |
| dc.identifier.issn | 2008-1901 | |
| dc.identifier.uri | https://doi.org/10.22436/jnsa.009.11.10 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14826 | |
| dc.language.iso | en | en_US |
| dc.publisher | int Scientific Research Publications | en_US |
| dc.relation.ispartof | Journal of Nonlinear Sciences and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Schrodinger Equation | en_US |
| dc.subject | Residual Power Series | en_US |
| dc.subject | Fractional Power Series | en_US |
| dc.subject | Exact Solution | en_US |
| dc.title | Residual Power Series Method for Time-Fractional Schrodinger Equations | en_US |
| dc.title | Residual power series method for time-fractional Schrodinger equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Kumar, Dr. Sunil/0000-0003-0620-1068 | |
| gdc.author.id | Yang, Xiao-Jun/0000-0003-0009-4599 | |
| gdc.author.wosid | Kumar, Amit/Hmp-4853-2023 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Yang, Xiao-Jun/E-8311-2011 | |
| gdc.author.wosid | Kumar, Sunil/P-7519-2015 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Zhang, Yu] North China Univ Water Resources & Elect Power, Coll Math & Informat Sci, Zhengzhou 450000, Peoples R China; [Kumar, Amit; Kumar, Sunil] Natl Inst Technol, Dept Math, Jamshedpur 831014, Jharkhand, India; [Baleanu, Dumitru] Cankya Univ, Dept Math, Ogretmenler Cad 14, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Yang, Xiao-Jun] China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou 221116, Peoples R China | en_US |
| gdc.description.endpage | 5829 | en_US |
| gdc.description.issue | 11 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 5821 | en_US |
| gdc.description.volume | 9 | en_US |
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| gdc.oaire.keywords | fractional Schrödinger equation | |
| gdc.oaire.keywords | exact solution | |
| gdc.oaire.keywords | fractional power series | |
| gdc.oaire.keywords | NLS equations (nonlinear Schrödinger equations) | |
| gdc.oaire.keywords | Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | residual power series | |
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