Picard, Adomian and predictor-corrector methods for an initial value problem of arbitrary (fractional) orders differential equation

DOI10.1016/j.joems.2015.01.001zbMath1342.34016OpenAlexW2052950036WikidataQ115345684 ScholiaQ115345684MaRDI QIDQ274472

R. A. Mahmoud, Adel S. Mohamed

Publication date: 22 April 2016

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2015.01.001

zbMATH Keywords

convergence analysiserror analysisfractional differential equationAdomian methodPicard methodpredictor corrector method

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)

Related Items (2)

Existence and data dependence results for fractional differential equations involving Atangana-Baleanu derivative ⋮ Study on existence and data dependence results for fractional order differential equations

Uses Software

• FracPECE

Cites Work

• On Adomian's decomposition method and some comparisons with Picard's iterative scheme
• Monotonic positive solution of a nonlinear quadratic functional integral equation
• On the Adomian (decomposition) method and comparisons with Picard's method
• A modified decomposition
• Convergence of Adomian's method applied to differential equations
• An algorithm for the numerical solution of differential equations of fractional order
• A predictor-corrector approach for the numerical solution of fractional differential equations
• On the fractional-order logistic equation
• Picard and Adomian decomposition methods for a quadratic integral equation of fractional order

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