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

Author(s):

D.ÝÝ Nazari ÝsusahabÝ , M. Jahanshahi

Message:
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.
Keywords:

Fractional integro , differential equations , Boundary mixed Conditions , Nystr{o}m method , Newton , Kantorovitch ýmethodý

Language:
English
Published:
International Journal of Industrial Mathematics, Volume:7 Issue: 1, Winter 2015
Pages:
63 to 69
https://www.magiran.com/p1365409