Numerical solution of nonlinear fractional Volterra-Fredholm integro-dierential equations with mixed boundary conditions

The aim of this paper is solving nonlinear Volterra-Fredholm fractional integro-dierential equations with mixed boundary conditions. The basic idea is to convert fractional integro-dierential equation to a type of second kind Fredholm integral equation. Then the obtained Fredholm integral equation will be solved with Nystrom and Newton-Kantorovitch method. Numerical tests for demonstrating the accuracy of the method is included.

Fractional integro-dierential equations; Boundary mixed Conditions; Nystrom method; Newton-Kantorovitch method