Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential

Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential

Abstract In this paper, we present analytical-approximate solution to the time-fractional nonlinear coupled Jaulent–Miodek system of equations which comes with an energy-dependent Schrödinger potential by means of a residual power series method (RSPM) and a q-homotopy analysis method (q-HAM). These...

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Main Authors: Mehmet Şenol, Olaniyi S. Iyiola, Hamed Daei Kasmaei, Lanre Akinyemi
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:Advances in Difference Equations
Subjects:
Partial fractional differential equations
Fractional derivatives
Residual power series method
Online Access:http://link.springer.com/article/10.1186/s13662-019-2397-5
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spelling doaj-a9f0a1f2f55f41df9302f5a0086658262020-11-25T03:59:54ZengSpringerOpenAdvances in Difference Equations1687-18472019-11-012019112110.1186/s13662-019-2397-5Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potentialMehmet Şenol0Olaniyi S. Iyiola1Hamed Daei Kasmaei2Lanre Akinyemi3Department of Mathematics, Nevşehir Hacı Bektaş Veli UniversityDepartment of Mathematics, Computer Science & Information System, California University of PennsylvaniaDepartment of Mathematics and Statistics, Islamic Azad University, Central Tehran BranchDepartment of Mathematics, Ohio UniversityAbstract In this paper, we present analytical-approximate solution to the time-fractional nonlinear coupled Jaulent–Miodek system of equations which comes with an energy-dependent Schrödinger potential by means of a residual power series method (RSPM) and a q-homotopy analysis method (q-HAM). These methods produce convergent series solutions with easily computable components. Using a specific example, a comparison analysis is done between these methods and the exact solution. The numerical results show that present methods are competitive, powerful, reliable, and easy to implement for strongly nonlinear fractional differential equations.http://link.springer.com/article/10.1186/s13662-019-2397-5Partial fractional differential equationsFractional derivativesResidual power series method
collection DOAJ
language English
format Article
sources DOAJ
author Mehmet Şenol
Olaniyi S. Iyiola
Hamed Daei Kasmaei
Lanre Akinyemi
spellingShingle Mehmet Şenol
Olaniyi S. Iyiola
Hamed Daei Kasmaei
Lanre Akinyemi
Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential
Advances in Difference Equations
Partial fractional differential equations
Fractional derivatives
Residual power series method
author_facet Mehmet Şenol
Olaniyi S. Iyiola
Hamed Daei Kasmaei
Lanre Akinyemi
author_sort Mehmet Şenol
title Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential
title_short Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential
title_full Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential
title_fullStr Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential
title_full_unstemmed Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential
title_sort efficient analytical techniques for solving time-fractional nonlinear coupled jaulent–miodek system with energy-dependent schrödinger potential
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2019-11-01
description Abstract In this paper, we present analytical-approximate solution to the time-fractional nonlinear coupled Jaulent–Miodek system of equations which comes with an energy-dependent Schrödinger potential by means of a residual power series method (RSPM) and a q-homotopy analysis method (q-HAM). These methods produce convergent series solutions with easily computable components. Using a specific example, a comparison analysis is done between these methods and the exact solution. The numerical results show that present methods are competitive, powerful, reliable, and easy to implement for strongly nonlinear fractional differential equations.
topic Partial fractional differential equations
Fractional derivatives
Residual power series method
url http://link.springer.com/article/10.1186/s13662-019-2397-5
work_keys_str_mv AT mehmetsenol efficientanalyticaltechniquesforsolvingtimefractionalnonlinearcoupledjaulentmiodeksystemwithenergydependentschrodingerpotential
AT olaniyisiyiola efficientanalyticaltechniquesforsolvingtimefractionalnonlinearcoupledjaulentmiodeksystemwithenergydependentschrodingerpotential
AT hameddaeikasmaei efficientanalyticaltechniquesforsolvingtimefractionalnonlinearcoupledjaulentmiodeksystemwithenergydependentschrodingerpotential
AT lanreakinyemi efficientanalyticaltechniquesforsolvingtimefractionalnonlinearcoupledjaulentmiodeksystemwithenergydependentschrodingerpotential
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