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

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

Keywords:

Fractional integro-differential equations , Boundary mixed Conditions , Nystr\"{o}m method , Newton-Kantorovitch ‎method.‎