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

الموضوعات : مجله بین المللی ریاضیات صنعتی

D.‎‎ Nazari ‎Susahab‎ ¹ (Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.)
M. Jahanshahi ² (Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.)

تاريخ الإرسال : 13 الإثنين , ربيع الثاني, 1436 تاريخ التأكيد : 13 الإثنين , ربيع الثاني, 1436 تاريخ الإصدار : 10 الخميس , ربيع الأول, 1436

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.‎