Stability of numerical solutions for Abel-Volterra integral equations of the second kind

DOI10.1007/s00009-018-1149-1zbMath1406.65136OpenAlexW2800810559WikidataQ129834550 ScholiaQ129834550MaRDI QIDQ723825

Antonia Vecchio, Giuseppe Izzo, Eleonora Messina

Publication date: 24 July 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1149-1

zbMATH Keywords

Mittag-Leffler functionasymptotic behaviorstability analysisnumerical stabilityVolterra integral equationsweakly singular integral equationsconvolution quadraturefractional differential equationGronwall inequalityweak singularityAbel-Volterra integral equationsfractional derivative Caputo operatortrapezoidal product integration

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Volterra integral equations (45D05) Fractional ordinary differential equations (34A08)

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