Residual Power Series Method for Fractional Swift–Hohenberg Equation

In this paper, the approximated analytical solution for the fractional Swift–Hohenberg (S–H) equation has been investigated with the help of the residual power series method (RPSM). To ensure the applicability and efficiency of the proposed technique, we consider a non-linear fractional order Swift–...

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Bibliographic Details
Published inFractal and fractional Vol. 3; no. 1; p. 9
Main Authors Prakasha, D. G., Veeresha, P., Baskonus, Haci Mehmet
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.03.2019
Subjects
Calculus
Caputo fractional derivative
Dispersion
Efficiency
Exact solutions
fractional Swift–Hohenberg equation
Partial differential equations
Power series
Probability density functions
residual power series method
Taylor series
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Summary:In this paper, the approximated analytical solution for the fractional Swift–Hohenberg (S–H) equation has been investigated with the help of the residual power series method (RPSM). To ensure the applicability and efficiency of the proposed technique, we consider a non-linear fractional order Swift–Hohenberg equation in the presence and absence of dispersive terms. The effect of bifurcation and dispersive parameters with physical importance on the probability density function for distinct fractional Brownian and standard motions are studied and presented through plots. The results obtained show that the proposed technique is simple to implement and very effective for analyzing the complex problems that arise in connected areas of science and technology.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract3010009