Numerical computations of coupled fractional resonant Schrödinger equations arising in quantum mechanics under conformable fractional derivative sense
Mathematical modeling of fractional resonant Schrödinger equations is an extremely significant topic in the classical of quantum mechanics, chromodynamics, astronomy, and anomalous diffusion systems. Based on conformable residual power series, a novel effective analytical approach is considered to s...
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| Published in | Physica scripta Vol. 95; no. 7; pp. 75218 - 75238 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
IOP Publishing
01.07.2020
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0031-8949 1402-4896 |
| DOI | 10.1088/1402-4896/ab96e0 |
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| Abstract | Mathematical modeling of fractional resonant Schrödinger equations is an extremely significant topic in the classical of quantum mechanics, chromodynamics, astronomy, and anomalous diffusion systems. Based on conformable residual power series, a novel effective analytical approach is considered to solve classes of nonlinear time-fractional resonant Schrödinger equation and nonlinear coupled fractional Schrödinger equations under conformable fractional derivatives. The solution methodology lies in generating an infinite conformable series solution with reliable wave pattern by minimizing the residual error functions. The main motivation for using this approach is high accuracy convergence and low computational cost compared to other existing methods. In this orientation, the competency and capacity of the proposed method are examined by implementing several numerical applications. From a numerical viewpoint, the obtained results indicate that the method is intelligent and has several features in feasibility, stability, and suitability for dealing with many fractional models emerging in physics and optics using the new conformable derivative. |
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| AbstractList | Mathematical modeling of fractional resonant Schrödinger equations is an extremely significant topic in the classical of quantum mechanics, chromodynamics, astronomy, and anomalous diffusion systems. Based on conformable residual power series, a novel effective analytical approach is considered to solve classes of nonlinear time-fractional resonant Schrödinger equation and nonlinear coupled fractional Schrödinger equations under conformable fractional derivatives. The solution methodology lies in generating an infinite conformable series solution with reliable wave pattern by minimizing the residual error functions. The main motivation for using this approach is high accuracy convergence and low computational cost compared to other existing methods. In this orientation, the competency and capacity of the proposed method are examined by implementing several numerical applications. From a numerical viewpoint, the obtained results indicate that the method is intelligent and has several features in feasibility, stability, and suitability for dealing with many fractional models emerging in physics and optics using the new conformable derivative. |
| Author | Abu Arqub, Omar Al-Smadi, Mohammed Momani, Shaher |
| Author_xml | – sequence: 1 givenname: Mohammed surname: Al-Smadi fullname: Al-Smadi, Mohammed organization: Al-Balqa Applied University Department of Applied Science, Ajloun College, Ajloun 26816, Jordan – sequence: 2 givenname: Omar orcidid: 0000-0001-9526-6095 surname: Abu Arqub fullname: Abu Arqub, Omar email: o.abuarqub@bau.edu.jo organization: Al Balqa Applied University Department of Mathematics, Faculty of Science, Salt 19117, Jordan – sequence: 3 givenname: Shaher surname: Momani fullname: Momani, Shaher organization: The University of Jordan Department of Mathematics, Faculty of Science, Amman, 11942, Jordan |
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| Cites_doi | 10.1108/HFF-07-2016-0278 10.1016/j.chaos.2006.10.009 10.1007/s40819-015-0049-3 10.1007/s11075-016-0160-5 10.5373/jaram.1447.051912 10.1002/mma.5530 10.1016/S0960-0779(00)00026-6 10.1155/2014/863015 10.1016/j.physa.2019.123257 10.1016/j.cam.2014.01.002 10.1016/j.chaos.2019.05.025 10.1007/s11071-018-4459-8 10.1140/epjp/i2019-12731-x 10.3233/FI-2019-1795 10.3233/FI-2019-1796 10.1016/j.camwa.2018.01.025 10.1142/p614 10.1007/s12346-020-00352-x 10.1002/num.22209 10.1007/s40819-020-00812-7 10.1007/s11071-016-3110-9 10.1063/1.1050284 10.1016/j.amc.2010.02.041 10.1016/j.jcp.2014.09.034 10.1016/j.amc.2014.12.121 10.1016/j.camwa.2016.11.032 10.1007/978-1-4614-0457-6 10.1109/JAS.2016.7510193 10.1016/j.cam.2014.10.016 10.1002/mma.3884 10.1016/j.physleta.2007.07.065 10.1016/j.cjph.2018.08.006 10.1016/j.amc.2018.09.020 10.1016/j.cjph.2018.06.009 10.1142/S0217732319501554 10.1016/j.chaos.2019.07.023 10.1016/j.chaos.2018.10.013 10.1088/1572-9494/ab7707 10.1002/cpa.20134 10.1007/s11071-019-04866-1 10.1016/S0375-9601(00)00201-2 10.1002/num.22236 10.1007/s10092-017-0213-8 10.1016/0960-0779(94)E0101-T 10.1007/s11071-016-3125-2 10.1016/j.chaos.2018.03.001 10.1016/j.jcp.2014.08.004 10.1142/S0218127420500042 10.1016/j.cjph.2019.01.001 10.1140/epjp/i2019-12442-4 10.1007/s00500-020-04687-0 10.1016/j.chaos.2018.10.007 10.1615/JPorMedia.2019028970 10.1142/S021812741950041X |
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| References | 45 46 47 49 Al-Smadi M (44) 2020 Parthiban V (48) 2017; 9 50 51 Podlubny I (1) 1999 52 53 10 54 11 55 12 56 13 57 14 15 59 16 17 18 19 Senol M (58) 2020; 72 3 5 6 7 8 9 60 20 21 22 23 24 25 26 27 28 29 Zaslavsky G M (4) 2005 Kilbas A (2) 2006 30 31 32 33 34 35 36 37 38 39 40 41 42 43 |
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| Title | Numerical computations of coupled fractional resonant Schrödinger equations arising in quantum mechanics under conformable fractional derivative sense |
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