University of Tabriz Computational Methods for Differential Equations 2345-3982 8 1 2020 01 01 A Study on ‎‎Functional Fractional Integro-Differential Equations ‎of Hammerstein type 173 193 9621 10.22034/cmde.2019.9621 EN Leila Saeedi Department of Mathematics, Shahed University, Tehran, Iran. Abolfazl Tari Marzabad Department of Mathematics, Shahed University, Tehran, Iran. Esmail Babolian Department of Computer Science, Kharazmi University, Tehran, Iran. Journal Article 2018 10 09 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. https://cmde.tabrizu.ac.ir/article_9621_f7a4fd4fee54f1eab443d316c79e5488.pdf