A new Riemann-Liouville type fractional derivative operator and its application in generating functions

DOI10.1186/s13662-018-1616-9zbMath1446.26005OpenAlexW2805284930WikidataQ129895389 ScholiaQ129895389MaRDI QIDQ1712226

Peng Zhang

Publication date: 21 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1616-9

zbMATH Keywords

Mellin transformgenerating functionextended beta functionextended Appell functionsextended Lauricella functionRiemann-Liouville fractional derivative operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65)

Related Items (3)

Error estimates of Hermite‐Hadamard type inequalities with respect to a monotonically increasing function ⋮ On a \(\psi \)-generalized fractional derivative operator of Riemann-Liouville with some applications ⋮ Approximate analytical solution of fractional order biochemical reaction model and its stability analysis

Uses Software

• DLMF

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