Applications of Measure of Noncompactness and Darbo’s Fixed Point Theorem to Nonlinear Integral Equations in Banach Spaces

DOI10.1080/01630563.2017.1291522zbMath1378.45002OpenAlexW2595360653MaRDI QIDQ5357021

Ümit Çakan, İsmet Özdemir

Publication date: 13 September 2017

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2017.1291522

zbMATH Keywords

nonlinear integral equationsmeasure of noncompactnessRiemann-Liouville fractional integralnonlinear functional integral equationsDarbo fixed-point theoremfixed point theorem in Banach algebra

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fractional derivatives and integrals (26A33) Abstract integral equations, integral equations in abstract spaces (45N05) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (5)

Measure of noncompactness and fractional hybrid differential equations with hybrid conditions ⋮ An existence result for functional integral equations via Petryshyn's fixed point theorem ⋮ Solvability of implicit fractional order integral equation in \(\ell_p\) (\(1 \leq p < \infty\)) space via generalized Darbo's fixed point theorem ⋮ Positive Solution of a Quadratic Integral Equation Using Generalization of Darbo’s Fixed Point Theorem ⋮ An existence result for an infinite system of implicit fractional integral equations via generalized Darbo's fixed point theorem

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