Convolution series and the generalized convolution Taylor formula

DOI10.1007/s13540-021-00009-9zbMath1503.26012arXiv2107.10198OpenAlexW3185872283WikidataQ114017064 ScholiaQ114017064MaRDI QIDQ2110183

Yuri Luchko

Publication date: 21 December 2022

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.10198

zbMATH Keywords

Sonine kernelsconvolution polynomialsgeneral fractional derivativeconvolution seriesgeneral fractional integralgeneralized convolution Taylor formulasequential general fractional derivative

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Fractional derivatives and integrals (26A33) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (6)

Prabhakar function of Le Roy type: a set of results in the complex plane ⋮ General fractional integrals and derivatives and their applications ⋮ The 1st level general fractional derivatives and some of their properties ⋮ General fractional classical mechanics: action principle, Euler-Lagrange equations and Noether theorem ⋮ General non-local electrodynamics: equations and non-local effects ⋮ Nonlocal statistical mechanics: general fractional Liouville equations and their solutions

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