On the quadratic integral equations and their applications

DOI10.1016/J.CAMWA.2011.07.070zbMath1232.45004OpenAlexW2029402425MaRDI QIDQ662207

Hussein A. H. Salem

Publication date: 21 February 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.07.070

zbMATH Keywords

fractional calculusexistence theoremChandrasekhar's integral equationquadratic integral equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Volterra integral equations (45D05)

Related Items (10)

Asymptotic stability of solutions to a nonlinear Urysohn quadratic integral equation ⋮ Numerical solution of variable order fractional nonlinear quadratic integro-differential equations based on the sixth-kind Chebyshev collocation method ⋮ Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations ⋮ Stabilization of coupled systems of quadratic integral equations of Chandrasekhar type ⋮ Positive solutions of a quadratic integro-differential equation ⋮ An approximate numerical method for solving Cauchy singular integral equations composed of multiple implicit parameter functions with unknown integral limits in contact mechanics ⋮ Hadamard-type fractional calculus in Banach spaces ⋮ On positive solutions of a system of equations generated by Hadamard fractional operators ⋮ An Existence Theorem for Some Nonlinear Volterra-Fredholm Integral Equations in the Space of Continuous Tempered Functions ⋮ On successive approximation method for coupled systems of Chandrasekhar quadratic integral equations

Cites Work

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• Abel integral equations. Analysis and applications
• Existence theorems for some quadratic integral equations
• Monotonic solutions of a quadratic integral equation of Volterra type
• An abstract Gronwall lemma and applications to global existence results for functional differential and integral equations of fractional order
• On quadratic integral equation of fractional orders
• Quadratic equations and applications to Chandrasekhar's and related equations
• On a nonlinear convolution equation occurring in the theory of water percolation
• Spectral Analysis of Some Iterations in the Chandrasekhar's H-Functions

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