Operational calculus for the general fractional derivative and its applications

DOI10.1515/fca-2021-0016zbMath1498.26013arXiv2103.00549OpenAlexW3161340350MaRDI QIDQ2046064

Yuri Luchko

Publication date: 17 August 2021

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

Full work available at URL: https://arxiv.org/abs/2103.00549

zbMATH Keywords

fractional differential equationsconvolutionsMittag-Leffler functionsoperational calculusSonine kernelsgeneral fractional derivativeconvolution seriesfundamental theorem for the fractional derivativegeneral fractional integral

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Calculus of Mikusi?ski and other operational calculi (44A40) Other functions coming from differential, difference and integral equations (33E30) Volterra integral equations (45D05)

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