Series Solutions of Time-Fractional PDEs by Homotopy Analysis Method
Joint Authors
Hashim, Ishak
Abdulaziz, O.
Saif, Amin
Source
International Journal of Differential Equations
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-01-28
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The homotopy analysis method (HAM) is applied to solve linear and nonlinear fractional partial differential equations (fPDEs).
The fractional derivatives are described by Caputo's sense.
Series solutions of the fPDEs are obtained.
A convergence theorem for the series solution is also given.
The test examples, which include a variable coefficient, inhomogeneous and hyperbolic-type equations, demonstrate the capability of HAM for nonlinear fPDEs.
American Psychological Association (APA)
Abdulaziz, O.& Hashim, Ishak& Saif, Amin. 2009. Series Solutions of Time-Fractional PDEs by Homotopy Analysis Method. International Journal of Differential Equations،Vol. 2008, no. 2008, pp.1-16.
https://search.emarefa.net/detail/BIM-987852
Modern Language Association (MLA)
Abdulaziz, O.…[et al.]. Series Solutions of Time-Fractional PDEs by Homotopy Analysis Method. International Journal of Differential Equations No. 2008 (2008), pp.1-16.
https://search.emarefa.net/detail/BIM-987852
American Medical Association (AMA)
Abdulaziz, O.& Hashim, Ishak& Saif, Amin. Series Solutions of Time-Fractional PDEs by Homotopy Analysis Method. International Journal of Differential Equations. 2009. Vol. 2008, no. 2008, pp.1-16.
https://search.emarefa.net/detail/BIM-987852
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-987852
