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Title
EXISTENCE OF SOLUTION OF FUNCTIONAL INTEGRAL EQUATIONS BY MEASURE OF NONCOMPACTNESS AND SINC INTERPOLATION TO FIND SOLUTION
Type of Research Article
Keywords
Functional integral equations, measure of noncompactness, operator type contraction, Sinc interpolation, iterative algorithm
Abstract
In this article, we discuss the existence of solution for the functional integral equations in the Banach space BC(R+) of real-valued continuous and bounded functions, using the method associated with the technique of measure of noncompactness and generalized Darbo fixed point theorem. We provide an example to illustrate our results, and we make an iterative algorithm by the Sinc interpolation to find solution to the above problem with acceptable accuracy.
Researchers Mohsen Rabbani (First Researcher)، Reza Arab (Second Researcher)، BIPAN HAZARIKA (Third Researcher)، Nasser Aghazadeh (Fourth Researcher)