Davey-Stewartson Equation with Fractional Coordinate Derivatives. (25th November 2013)

• Record Type: Journal Article
• Authors: Jafari, H.; Sayevand, K.; Khan, Yasir; Nazari, M.
• Other Names: Lamichhane B. Academic Editor.; Li T. Academic Editor.; Song X. Academic Editor.
• Is Part Of: TheScientificWorldjournal. Volume 2013(2013)
• Publication Date: 2013-11-25
• Subjects: Science -- Periodicals; Technology -- Periodicals; Medicine -- Periodicals; 505
• DOI: 10.1155/2013/941645
• Languages: English
• ISSNs: 2356-6140

Abstract

Abstract : We have used the homotopy analysis method (HAM) to obtain solution of Davey-Stewartson equations of fractional order. The fractional derivative is described in the Caputo sense. The results obtained by this method have been compared with the exact solutions. Stability and convergence of the proposed approach is investigated. The effects of fractional derivatives for the systems under consideration are discussed. Furthermore, comparisons indicate that there is a very good agreement between the solutions of homotopy analysis method and the exact solutions in terms of accuracy.