Investigation of the existence criteria for the solution of the functional integral equation in the \(L^p\) space

DOI10.1007/978-981-16-8177-6_16zbMath1497.45007OpenAlexW4236064089MaRDI QIDQ2089430

Dipankar Saha, Mausumi Sen, Santanu Roy

Publication date: 22 October 2022

Full work available at URL: https://doi.org/10.1007/978-981-16-8177-6_16

zbMATH Keywords

integral equationfixed pointmeasure of noncompactness

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Kolmogorov-Riesz compactness theorem
• On solution of functional integral equation of fractional order
• Existence of solutions for some nonlinear integral equations
• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• Existence of solutions of functional integral equations of convolution type using a new construction of a measure of noncompactness on \(L^p(\mathbb{R}_+)\)
• Stability analysis and dynamic output feedback controller design of T-S fuzzy systems with time-varying delays and external disturbances
• Solvability of nonlinear quadratic integral equation by using simulation type condensing operator and measure of noncompactness
• On a fixed point theorem in Banach algebras with applications
• The global attractivity and asymptotic stability of solution of a nonlinear integral equation

This page was built for publication: Investigation of the existence criteria for the solution of the functional integral equation in the \(L^p\) space