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Analytic Investigation of a Reaction-diffusion Brusselator Model with the Time-space Fractional Derivative
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İsmail Aslan
Published/Copyright:
February 22, 2014
Abstract
It is well known that many models in nonlinear science are described by fractional differential equations in which an unknown function appears under the operation of a derivative of fractional order. In this study, we propose a reaction-diffusion Brusselator model from the viewpoint of the Jumarie's modified Riemann-Liouville fractional derivative. Based on the (G′/G)-expansion method, various kinds of exact solutions are obtained. Our results could be used as a starting point for numerical procedures as well.
Received: 2011-6-28
Accepted: 2014-1-6
Published Online: 2014-2-22
©2014 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Frontmatter
- Self-excited Oscillations and Fuel Control of a Combustion Process in a Rijke Tube
- Synchronization of Strictly Different Hyperchaotic Systems with Uncertain Parameters and Models
- Modeling of Synthetic Turbulence Generation in Boundary Layer by Using Zonal RANS/LES Method
- A Meshless Method of Lines for Numerical Solution of Some Coupled Nonlinear Evolution Equations
- A Study of Higher Order Terms in Shallow Water Waves via Modified PLK Method
- Numerical Simulation of Stochastic Inverse Problems in Rigid-Poro-Plastic Materials
- Analytic Investigation of a Reaction-diffusion Brusselator Model with the Time-space Fractional Derivative
- Validation of CE/SE Scheme in Low Mach Number Direct Aeroacoustic Simulation
