Letnikov vs. Marchaud: a survey on two prominent constructions of fractional derivatives

DOI10.3390/MATH6010003zbMath1488.26022OpenAlexW2777273533MaRDI QIDQ1657240

Maryna Dubatovskaya, Sergei V. Rogosin

Publication date: 13 August 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6010003

zbMATH Keywords

Hadamard finite partfractional differencesGrünwald-Letnikov approachfractional integrals and derivativesmarchaud approach

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Difference operators (39A70) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11) Functional-differential equations with fractional derivatives (34K37)

Related Items (5)

Normal periodic solutions for the fractional abstract Cauchy problem ⋮ Editorial. Fractional calculus: theory and applications ⋮ Numerical approach for approximating the Caputo fractional-order derivative operator ⋮ Weyl and Marchaud derivatives: a forgotten history ⋮ Fractional operator viscoelastic models in dynamic problems of mechanics of solids: a review

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