Journal
ADVANCES IN DIFFERENCE EQUATIONS
Volume 2019, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1186/s13662-019-2397-5
Keywords
Partial fractional differential equations; Fractional derivatives; Residual power series method
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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 Schrodinger 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.
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