Picard and Adomian decomposition methods for a quadratic integral equation of fractional order

DOI10.1007/s40314-013-0045-3zbMath1308.26010OpenAlexW2073057066MaRDI QIDQ2514040

H. H. G. Hashem, Ahmed M. A. El-Sayed, E. A. A. Ziada

Publication date: 30 January 2015

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-013-0045-3

zbMATH Keywords

convergence analysiserror analysisAdomian methodPicard methodquadratic integral equationcontinuous unique solutionfractional-order integration

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Iteration theory, iterative and composite equations (39B12) Iteration of real functions in one variable (26A18)

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Cites Work

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• Monotonic solutions of a quadratic integral equation of Volterra type
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• On solutions of a quadratic integral equation of Hammerstein type
• SOLVABILITY OF NONLINEAR HAMMERSTEIN QUADRATIC INTEGRAL EQUATIONS
• Convergence of Adomian's Method
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