Numerical solutions of a class of nonlinear fractional boundary value problems with beta derivativeS. Alkan, V. F. HatipoğluIn this paper, a class of fractional order nonlinear differential equations with boundary conditions is studied. We employ Sinc-Galerkin method to obtain the approximate solution for investigated fractional boundary value problems. A local derivative so called beta-derivative definition is preferred for fractional order. In order to illustrate the efficiency of the proposed method on investigated class of functions, two examples with numerical simulations are tested. The error estimation shows that Sinc-Galerkin method is a consistent and effective method.Tbilisi Mathematical Journal, Special Issue (8 - 2021), pp. 95-107 |