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
Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAA-10-1_007
تاریخ نمایه سازی: 11 آذر 1401
Abstract:
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.
Keywords:
Measure of noncompactness , Infinite systems of singular integral equations , Meir-Keeler condensing operators , Fixed point theorem , Modified homotopy perturbation
Authors
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Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh-۷۹۱۱۱۲, Arunachal Pradesh, India
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Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
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Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh-۷۹۱۱۱۲, Arunachal Pradesh, India
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Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran