EFFICIENT QUADRATURE RULES FOR SOLVING NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS OF THE HAMMERSTEIN TYPE

Subject Integral equations and integral transforms
Title EFFICIENT QUADRATURE RULES FOR SOLVING NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS OF THE HAMMERSTEIN TYPE
Author(s) S. SHAHMORAD AND D. NAZARI SUSAHAB
Keywords Quadrature rules; Fractional integro-differential equations.
Abstract The aim of this paper is to solve nonlinear fractional integro-differential equations of the Hammerstein type. The basic idea is to convert fractional integro-differential equations to a type of second kind Volterra integral equations. Then the obtained Volterra integral equation will be solved with some suitable quadrature rules. We are interested in using a simple method to obtain riveting results. Numerical tests for demonstrating the convergence and accuracy of the method will be included.