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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Bibliographic Details
Published inJournal of Applied Mathematics Vol. 2014; no. 2014; pp. 376 - 383-135
Main Authors Gumma, E. A. E., Arko, Y. A. S., Yousif, Eltayeb A., Abdel-Salam, Emad A.-B.
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2014
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Hindawi Limited
Wiley
Subjects
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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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1110-757X
1687-0042
DOI:10.1155/2014/218092