Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
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.
Nazari Susahab, D., & Jahanshahi, M. (2015). Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions. International Journal of Industrial Mathematics, 7(1), 63-69.
MLA
D. Nazari Susahab; M. Jahanshahi. "Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions". International Journal of Industrial Mathematics, 7, 1, 2015, 63-69.
HARVARD
Nazari Susahab, D., Jahanshahi, M. (2015). 'Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions', International Journal of Industrial Mathematics, 7(1), pp. 63-69.
VANCOUVER
Nazari Susahab, D., Jahanshahi, M. Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions. International Journal of Industrial Mathematics, 2015; 7(1): 63-69.
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