Exponential Runge–Kutta Method for Two-Dimensional Nonlinear Fractional Complex Ginzburg–Landau Equations
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DOI: 10.1007/s10915-020-01240-x
Abstract: In this work, we study numerically two-dimensional nonlinear spatial fractional complex Ginzburg–Landau equations. A centered finite difference method is exploited to discretize the spatial variables and leads to a system of the ordinary differential equation,… read more here.
Keywords: fractional complex; complex ginzburg; ginzburg landau; method ... See more keywords
Solution for Non-linear Fractional Partial Differential Equations Using Fractional Complex Transform
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DOI: 10.1007/s40819-019-0673-4
Abstract: In this research article, we have adapted fractional complex transform (FCT) in addition some new iterative method i.e. to obtain the relative solution of nonlinear gas dynamics equations. To know about the persuasiveness of the… read more here.
Keywords: solution non; differential equations; fractional complex; solution ... See more keywords
The local and global existence of solutions for a time fractional complex Ginzburg–Landau equation
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.08.008
Abstract: Abstract We study the following time fractional complex nonlinear Ginzburg–Landau equation: { e − i ω 0 C D t α u − △ u = e i γ | u | p − 1… read more here.
Keywords: ginzburg landau; landau equation; time fractional; fractional complex ... See more keywords
Recurrent motion in the fractional complex Ginzburg–Landau equation
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DOI: 10.1063/1.5131376
Abstract: This article concerns recurrent motion in the fractional complex Ginzburg–Landau equation with a small recurrent force. By using Galerkin’s method and energy estimate method, we obtain the existence of the bounded solutions, periodic solutions, quasiperiodic… read more here.
Keywords: fractional complex; motion fractional; complex ginzburg; ginzburg landau ... See more keywords
The Adomian decomposition method and the fractional complex transform for fractional Bratu-type equation
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DOI: 10.2298/tsci160805058w
Abstract: In this paper, the Adomian decomposition method and the fractional complex transform are adopted to solve a fractional Bratu-type equations based on He’s fractional derivative. The solution process is elucidated and analytical results can be… read more here.
Keywords: fractional complex; method fractional; decomposition method; complex transform ... See more keywords