Momani, ShaherAbu Rqayiq, AbdullahBaleanu, Dumitru2017-02-212017-02-212012Momani, S., Abu Rqayiq, A., Baleanu, D. (2012). A nonstandard finite difference scheme for two-sided space-fractional partial differential equations. International Journal of Bifurcation And Chaos, 22(4), 1-5. http://dx.doi.org/10.1142/S02181274125007940218-1274http://hdl.handle.net/20.500.12416/1293In this paper, we apply the Mickens nonstandard discretization method to solve a class of initial-boundary value fractional partial differential equations with variable coefficients on a finite domain, and thereby increase the accuracy of the solutions. We examine the case when a left-handed and a right-handed fractional spatial derivative may be present in the partial differential equation. Two numerical examples using this method are presented and compared successfully with the exact analytical solutions.eninfo:eu-repo/semantics/closedAccessFractional Differential EquationsLeft-Handed Fractional DerivativeRight-Handed Fractional DerivativeNonstandard Finite Difference SchemesArticle2241510.1142/S0218127412500794