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

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 p...

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Bibliographic Details
Published in:Advances in difference equations 2019-11, Vol.2019 (1), p.1-21, Article 462
Main Authors: Şenol, Mehmet, Iyiola, Olaniyi S., Daei Kasmaei, Hamed, Akinyemi, Lanre
Format: Article
Language:English
Subjects:
Analysis
Difference and Functional Equations
Differential equations
Fractional derivatives
Functional Analysis
Mathematics
Mathematics and Statistics
Nonlinear equations
Ordinary Differential Equations
Partial Differential Equations
Partial fractional differential equations
Power series
Production methods
Residual power series method
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Summary: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.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-019-2397-5