Existence of Solution of Nonlinear Functional Integral Equation Via Measure of Non-Compactness

  • Kavita Sakure Department of Mathematics, Govt. Digvijay Auto. P.G. College, Rajnandgaon, 491441, India.
Keywords: Nonlinear integral equation, measure of noncompactness, Darbo's fixed point theorem, existence theorem

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 Darbos 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.

Author Biography

Kavita Sakure, Department of Mathematics, Govt. Digvijay Auto. P.G. College, Rajnandgaon, 491441, India.
   
Published
2020-02-12
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
Issue
Theory and Applications of Mathematical Science Vol. 2
Section
Chapters