A new extension and applications of Caputo fractional derivative operator

DOI10.1515/anly-2019-0005zbMath1468.26004OpenAlexW3082043688MaRDI QIDQ2031293

Yanyan Li

Publication date: 9 June 2021

Published in: Analysis (München) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anly-2019-0005

zbMATH Keywords

Mellin transformbeta functionhypergeometric functionfractional derivativeCaputo fractional derivativeAppell functiongenerating relationextended hypergeometric function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (2)

Recursion formulas for certain quadruple hypergeometric functions ⋮ Fractional integral and derivative formulae for multi-index wright generalized Bessel function

Uses Software

• DLMF

Cites Work

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• Existence and uniqueness of integrable solutions of fractional order initial value equations
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• Extension of the fractional derivative operator of the Riemann-Liouville
• A further extension of the extended Riemann–Liouville fractional derivative operator

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