2024 : 11 : 21
Ghasem Alizadeh Afrouzi

Ghasem Alizadeh Afrouzi

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 01135302463

Research

Title
STUDY ON EXISTENCE THEORY FOR INTEGRAL EQUATIONS OF MIXED TYPE
Type
JournalPaper
Keywords
Measure of weak noncompactness; Nonlinear mixed integral equation; Darbo’s theorem; Banach algebra
Year
2011
Journal Journal of Nonlinear Analysis and Optimization
DOI
Researchers Ghasem Alizadeh Afrouzi ، Sohrabali Yousefi ، Abdolbaghi Rezaei Talarposhti

Abstract

This article presents an existence of monotonic solution for the nonlinear mixed Volterra-Fredholm integral equation acting on L1[0, 1]. By using the techniques of the De Blasi measure of weak noncompactness, we employ the basic fixed point theorems such as Darbo’s theorem to obtain the mentioned aims in Banach spaces.