Solvability of infinite system of nonlinear singular integral equations in the $C(I\times I, c)$ space and modified semi-analytic method to find a closed-form of solution | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 7، دوره 10، شماره 1، بهمن 2019، صفحه 63-76 اصل مقاله (149.89 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.16525.1875 | ||
| نویسندگان | ||
| Anupam Das1؛ Mohsen Rabbani* 2؛ Bipan Hazarika1، 3؛ Reza Arab2 | ||
| 1Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh-791112, Arunachal Pradesh, India | ||
| 2Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran | ||
| 3Department of Mathematics, Gauhati University, Guwahati-781014, Assam, India | ||
| چکیده | ||
| In this article, we discuss about solvability of infinite systems of singular integral equations with two variables in the Banach sequence space $C(I \times I, c)$ by applying measure of noncompactness and Meir-Keeler condensing operators. By presenting an example, we have illustrated our results. For validity of the results we introduce a modified semi-analytic method in the case of two variables to make an iteration algorithm to find a closed-form of solution for the above problem. The numerical results show that the produced sequence for approximating the solution of example is in the $c$ space with a high accuracy. | ||
| کلیدواژهها | ||
| Measure of noncompactness؛ Infinite systems of singular integral equations؛ Meir-Keeler condensing operators؛ Fixed point theorem؛ Modified homotopy perturbation | ||
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