On Erdélyi–Kober Quadratic Functional-Integral Equation in Banach Algebra. (17th February 2018)

• Record Type: Journal Article
• Authors: Darwish, Mohamed Abdalla; Samet, Bessem
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 3(2018)
• Page Start: 276
• Page End: 294
• Publication Date: 2018-02-17
• Subjects: Banach algebra -- Erdélyi–Kober fractional integral -- existence -- measure of noncompactness -- nonlinear integral equation; 45G05 -- 47H08; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1364266
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: Using the technique of a suitable measure of noncompactness in Banach algebra, we prove an existence theorem for some functional-integral equations in Banach algebra, namely Erdélyi–Kober quadratic functional-integral equation. This equation contains as particular cases a lot of integral equations that appear in many branches of nonlinear analysis and its applications. The obtained result is illustrated by an example.