Title of article :
THE SOLUTION OF A NONLINEAR INTEGRAL EQUATION WITH DEVIATING ARGUMENT BASED THE ON FIXED POINT TECHNIQUE
Author/Authors :
ARAB, R. Islamic Azad University, Sari Branch - Department of Mathematics, ايران , RABBANI, M. Islamic Azad University, Sari Branch - Department of Mathematics, ايران , MOLLAPOURASL, R. shahid rajaee teacher training university - School of Mathematics, تهران, ايران
Abstract :
In this article, the existence of a solution for a nonlinear integral equation with deviating argument that appears in nonlinear analysis and its applications is discussed. So, to do this, the technique of noncompactness measure and the basic fixed point theorems such as Darbo’s theorem, in Banach algebra are employed. Then, a powerful numerical approach based on Sinc quadrature is presented to estimate a solution for this equation. Finally, some numerical examples are given to confirm efficiency and accuracy of the numerical scheme.
Keywords :
Nonlinear Integral Equations , Measure of Noncompactness , Fixed Point Theorem , Darbo Condition , Banach Algebra , Sinc Quadrature
Journal title :
Applied and Computational Mathematics
Journal title :
Applied and Computational Mathematics
