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A Study on Functional Fractional Integro-Differential Equations of Hammerstein type | ||
| Computational Methods for Differential Equations | ||
| مقاله 12، دوره 8، شماره 1، فروردین 2020، صفحه 173-193 اصل مقاله (417.29 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2019.9621 | ||
| نویسندگان | ||
| Leila Saeedi1؛ Abolfazl Tari Marzabad* 1؛ Esmail Babolian2 | ||
| 1Department of Mathematics, Shahed University, Tehran, Iran. | ||
| 2Department of Computer Science, Kharazmi University, Tehran, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Functional Hammerstein integro-differential equations؛ Fractional order؛ Successive approximations؛ Spline interpolation؛ Trapezoidal quadrature rule | ||
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