Picard's iterative method for Caputo fractional differential equations with numerical results

DOI10.3390/math5040065OpenAlexW2770825101MaRDI QIDQ1649056

Rainey Lyons, Ross A. Chiquet, Aghalaya S. Vatsala

Publication date: 5 July 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math5040065

zbMATH Keywords

Mittag-Leffler functionCaputo fractional derivativePicard's iteration

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)

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Uses Software

• ma2dfc

Cites Work

• Picard iterative processes for initial value problems of singular fractional differential equations
• Basic theory of fractional differential equations
• Fractional integral inequalities and applications
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional calculus and its applications. Proceedings of the international conference held at the University of New Haven, June 1974
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Generalized monotone iterative method for initial value problems.
• Trapezoidal methods for fractional differential equations: theoretical and computational aspects
• Mittag-Leffler Functions, Related Topics and Applications
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