A further extension of the extended Riemann–Liouville fractional derivative operator

DOI10.3906/MAT-1805-139zbMath1424.33014OpenAlexW2892890578MaRDI QIDQ5742830

Shahid Mubeen, Kottakkaran Sooppy Nisar, Gauhar Rahman, Martin J. Bohner

Publication date: 8 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1805-139

zbMATH Keywords

Mellin transformhypergeometric functionfractional derivativeAppell's functionextended hypergeometric function

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (8)

Generalized Extended Riemann-Liouville Type Fractional Derivative Operator ⋮ Fractional operators with generalized Mittag-Leffler \(k\)-function ⋮ On the Generalization of κ-Fractional Hilfer-Katugampola Derivative with Cauchy Problem ⋮ Unnamed Item ⋮ An extension of the Mittag-Leffler function and its associated properties ⋮ On a \(\psi \)-generalized fractional derivative operator of Riemann-Liouville with some applications ⋮ A new extension and applications of Caputo fractional derivative operator ⋮ Fractional integral and derivative formulae for multi-index wright generalized Bessel function

Uses Software

• DLMF

Cites Work

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• Some results on the extended beta and extended hypergeometric functions
• A class of extended fractional derivative operators and associated generating relations involving hypergeometric functions
• Extension of gamma, beta and hypergeometric functions
• Some generating relations for extended hypergeometric functions via generalized fractional derivative operator
• Extension of Euler's beta function
• Extended hypergeometric and confluent hypergeometric functions
• An extension of Caputo fractional derivative operator and its applications
• EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
• On an extension of extended beta and hypergeometric functions
• Extension of the fractional derivative operator of the Riemann-Liouville

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