A class of fractional differential equations via power non-local and non-singular kernels: existence, uniqueness and numerical approximations

DOI10.1016/J.PHYSD.2023.133951arXiv2312.00014OpenAlexW4387807457WikidataQ128992808 ScholiaQ128992808MaRDI QIDQ6198201

Hanaa Zitane, Delfim F. M. Torres

Publication date: 21 February 2024

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2312.00014

zbMATH Keywords

numerical methodsGronwall's inequalitynon-singular kernelsfractional initial value problemspower fractional calculus

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Numerical methods for initial value problems involving ordinary differential equations (65L05) Inequalities for sums, series and integrals (26D15) Fractional ordinary differential equations (34A08)

Cites Work

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• Collocation methods for terminal value problems of tempered fractional differential equations
• On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
• On some new properties of fractional derivatives with Mittag-Leffler kernel
• Fundamental results on weighted Caputo-Fabrizio fractional derivative

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