Existence, attractiveness and stability of solutions for quadratic Urysohn fractional integral equations

DOI10.1016/j.cnsns.2011.05.034zbMath1257.45004OpenAlexW1990656560MaRDI QIDQ430315

Yong Zhou, JinRong Wang, Xiwang Dong

Publication date: 21 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.05.034

zbMATH Keywords

stabilitymeasure of noncompactnessbounded solutioncondensing operatorDarbo fixed point theoremweakly singularunbounded intervalquadratic Urysohn integral equationSchauder-Tychonoff fixed point theoremVolterra (fractional integral) equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Stability theory for integral equations (45M10) Singular nonlinear integral equations (45G05) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (8)

Existence and attractivity of global solutions for a class of fractional quadratic integral equations in Banach space ⋮ On the solvability of a class of nonlinear functional integral equations involving Erdélyi–Kober fractional operator ⋮ Analysis of nonlinear integral equations with Erdélyi-Kober fractional operator ⋮ Ulam-Hyers stability for Cauchy fractional differential equation in the unit disk ⋮ Analysis of Abel-type nonlinear integral equations with weakly singular kernels ⋮ On solution of functional integral equation of fractional order ⋮ Solvability of fully nonlinear functional equations involving Erdélyi-Kober fractional integrals on the unbounded interval ⋮ Unnamed Item

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