Title of article :
A Study on Functional Fractional Integro-Differential Equations of Hammerstein type
Author/Authors :
Saeedi, leila Department of Mathematics - Shahed University, Tehran , Tari Marzabad, Abolfazl Department of Mathematics - Shahed University, Tehran , Babolian, Esmail Department of Computer Science - Kharazmi University, Tehran
Abstract :
In this paper, functional Hammerstein integro-differential equations of fractional order is studied. Here the existence and uniqueness of the solution is proved. A numerical method to approximate the solution of problem is also presented which is based on an improvement of the successive approximations method. Error estimation of the method is analyzed and error bound is obtained. The convergence and stability of the method are proved. At the end, application of the method is revealed by presenting some examples.
Keywords :
Trapezoidal quadrature rule , Spline interpolation , Successive approximations , Fractional order , Functional Hammerstein integro-differential equations
Journal title :
Astroparticle Physics
