title: Davey-Stewartson equation with fractional coordinate derivatives.
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.
authors.affiliation: Department of Mathematics and Computer Science, University of Mazandaran, P.O. Box 47416-1467, Babolsar, Iran ; International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa.
authors.forename: H
authors.initials: H
authors.lastname: Jafari
authors.affiliation: Faculty of Mathematical Sciences, Malayer University, P.O. Box 65719-95863, Malayer, Iran.
authors.forename: K
authors.initials: K
authors.lastname: Sayevand
authors.affiliation: Department of Mathematics, Zhejiang University, Hangzhou 310027, China.
authors.forename: Yasir
authors.initials: Y
authors.lastname: Khan
authors.affiliation: Department of Mathematics and Computer Science, University of Mazandaran, P.O. Box 47416-1467, Babolsar, Iran.
authors.forename: M
authors.initials: M
authors.lastname: Nazari