Existence of Solution of Nonlinear Functional Integral Equation Via Measure of Non-Compactness
Theory and Applications of Mathematical Science Vol. 2,
Page 115-125
Abstract
The aim of this chapter is to present the existence result for solution of nonlinear Volterra-Hammerstein- Fredholm integral equation (in short VHFIE) under some conditions. The main tools are Darbo’s fixed point theorem involving measure of noncompactness for investigating the existence of solution of nonlinear Volterra-Hammerstein-Fredholm integral equation. An application and illustrative example of Volterra-Hammerstein-Fredholm integral equation are also present in this chapter.
Keywords:
- Nonlinear integral equation
- measure of noncompactness
- Darbo's fixed point theorem
- existence theorem
How to Cite
Sakure, K. (2020). Existence of Solution of Nonlinear Functional Integral Equation Via Measure of Non-Compactness. Theory and Applications of Mathematical Science Vol. 2, 115-125. Retrieved from https://stm1.bookpi.org/index.php/tams-v2/article/view/1027
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