TY - JOUR ID - 9621 TI - A Study on ‎‎Functional Fractional Integro-Differential Equations ‎of Hammerstein type JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Saeedi, Leila AU - Tari Marzabad, Abolfazl AU - Babolian, Esmail AD - Department of Mathematics, Shahed University, Tehran, Iran. AD - Department of Computer Science, Kharazmi University, Tehran, Iran. Y1 - 2020 PY - 2020 VL - 8 IS - 1 SP - 173 EP - 193 KW - Functional Hammerstein integro-differential equations KW - Fractional order KW - Successive approximations‎‎ KW - ‎Spline interpolation‎ KW - Trapezoidal quadrature rule DO - 10.22034/cmde.2019.9621 N2 - 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. UR - https://cmde.tabrizu.ac.ir/article_9621.html L1 - https://cmde.tabrizu.ac.ir/article_9621_f7a4fd4fee54f1eab443d316c79e5488.pdf ER -