Usta, Fuat2020-05-012020-05-0120162217-4303https://hdl.handle.net/20.500.12684/6006WOS: 000394613300009In this paper we propose a numerical scheme for the solution of fractional order of Poisson equation in R-2. The new scheme uses the Radial basis functions (RBFs) method to benefit the desired properties of mesh free techniques such as no need to generate any mesh and easily applied to high dimensions. In the numerical solution approach the Kansa's collocation method is used to discrete fractional derivative terms with the multiquadric basis function. The numerical experiments two dimensional cases are presented and discussed, which conform well with the corresponding exact solutions.eninfo:eu-repo/semantics/closedAccessConformable fractional derivativePoisson equationradial basis functionsKansa collocation technique.Article74143149N/A