Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions
الموضوعات : مجله بین المللی ریاضیات صنعتیD.‎‎ 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.
الکلمات المفتاحية: Fractional integro-differentia, Boundary mixed Conditions, Nystr\{o}m method, Newton-Kantorovitch method.,
ملخص المقالة :
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.
