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

Subject Areas : International Journal of Industrial Mathematics

D.‎‎ Nazari ‎Susahab‎ ¹ , M. Jahanshahi ²

1 - Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
2 - Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.

Received: 2015-02-02 Accepted : 2015-02-02 Published : 2015-01-01

Keywords: Fractional integro-differentia, Boundary mixed Conditions, Nystr\{o}m method, Newton-Kantorovitch ‎method.‎,

Abstract :

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.‎