Solution of Moving Boundary Space-Time Fractional Burger's Equation

Solution of Moving Boundary Space-Time Fractional Burger's Equation

The fractional Riccati expansion method is used to solve fractional differential equations with variable coefficients. To illustrate the effectiveness of the method, the moving boundary space-time fractional Burger’s equation is studied. The obtained solutions include generalized trigonometric and h...

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Veröffentlicht in:Journal of Applied Mathematics 2014-01, Vol.2014 (2014), p.376-383-135
Hauptverfasser: Gumma, E. A. E., Arko, Y. A. S., Yousif, Eltayeb A., Abdel-Salam, Emad A.-B.
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Boundaries
Boundary conditions
Burger equation
Colleges & universities
Control theory
Differential equations
Finite element analysis
Functional equations
Functions
Hyperbolic functions
Laplace transforms
Mathematical analysis
Mathematical research
Mathematics
Physics
Riccati equation
Science
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Beschreibung
Zusammenfassung:The fractional Riccati expansion method is used to solve fractional differential equations with variable coefficients. To illustrate the effectiveness of the method, the moving boundary space-time fractional Burger’s equation is studied. The obtained solutions include generalized trigonometric and hyperbolic function solutions. Among these solutions, some are found for the first time. The linear and periodic moving boundaries for the kink solution of the Burger’s equation are presented graphically and discussed.
ISSN:1110-757X
1687-0042
DOI:10.1155/2014/218092