Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1217.65134
Khan, Najeeb Alam; Jamil, Muhammad; Ara, Asmat; Khan, Nasir-Uddin
On efficient method for system of fractional differential equations. (English)
[J] Adv. Difference Equ. 2011, Article ID 303472, 15 p. (2011). ISSN 1687-1847/e

Summary: The present study introduces a new version of homotopy perturbation method for the solution of system of fractional-order differential equations. In this approach, the solution is considered as a Taylor series expansion that converges rapidly to the nonlinear problem. The systems include fractional-order stiff system, the fractional-order Genesio system, and the fractional-order matrix Riccati-type differential equation. The new approximate analytical procedure depends only on two components. Comparing the methodology with some known techniques shows that the present method is relatively easy, less computational, and highly accurate.

MSC 2000:: *65L05 Initial value problems for ODE (numerical methods)
34A08
65L04

Keywords: homotopy perturbation method; system of fractional-order differential equations; series expansion; stiff system; fractional-order Genesio system; matrix Riccati-type differential equation

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article Journal Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]