Homotopy perturbation method for nonlinear partial differential equations of fractional order
Author | Momani, Shaher |
Author | Odibat, Zaid |
Available date | 2010-01-11T06:34:45Z |
Publication Date | 2007-01-22 |
Publication Name | Physics Letters A |
Identifier | http://dx.doi.org/10.1016/j.physleta.2007.01.046 |
Citation | Momani, S., & Odibat, Z. (2007). Homotopy perturbation method for nonlinear partial differential equations of fractional order. Physics Letters A, 365, 345–350 |
Abstract | The aim of this Letter is to present an efficient and reliable treatment of the homotopy perturbation method (HPM) for nonlinear partial differential equations with fractional time derivative. The fractional derivative is described in the Caputo sense. The modified algorithm provides approximate solutions in the form of convergent series with easily computable components. The obtained results are in good agreement with the existing ones in open literature and it is shown that the technique introduced here is robust, efficient and easy to implement |
Language | en |
Publisher | Elsevier B.V. |
Subject | Caputo fractional derivative Fractional differential equation Homotopy perturbation method Numerical solution |
Type | Article |
Check access options
Files in this item
Files | Size | Format | View |
---|---|---|---|
There are no files associated with this item. |
This item appears in the following Collection(s)
-
Mathematics, Statistics & Physics [722 items ]