Subject |
Integral equations and integral transforms |
Title |
EFFICIENT QUADRATURE RULES FOR SOLVING NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS OF THE HAMMERSTEIN TYPE |
Author(s) |
S. SHAHMORAD AND D. NAZARI SUSAHAB |
Keywords |
Quadrature rules; Fractional integro-differential equations. |
Abstract |
The aim of this paper is to solve nonlinear fractional integro-differential equations of the Hammerstein type. The basic idea is to convert
fractional integro-differential equations to a type of second kind Volterra integral equations. Then the obtained Volterra integral equation will be solved
with some suitable quadrature rules. We are interested in using a simple method to obtain riveting results. Numerical tests for demonstrating the convergence and accuracy of the method will be included.
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