TY - JOUR
ID - 4053
TI - 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
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN - 2008-6822
AU - Das, Anupam
AU - Rabbani, Mohsen
AU - Hazarika, Bipan
AU - Arab, Reza
AD - Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh-791112, Arunachal Pradesh, India
AD - Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
Y1 - 2019
PY - 2019
VL - 10
IS - 1
SP - 63
EP - 76
KW - Measure of noncompactness
KW - Infinite systems of singular integral equations
KW - Meir-Keeler condensing operators
KW - Fixed point theorem
KW - Modified homotopy perturbation
DO - 10.22075/ijnaa.2019.16525.1875
N2 - 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.
UR - https://ijnaa.semnan.ac.ir/article_4053.html
L1 - https://ijnaa.semnan.ac.ir/article_4053_f0d83ce21ced64ebc87901f2504b2f55.pdf
ER -