On a certain extension of the Riemann-Liouville fractional derivative operator

DOI10.4134/CKMS.c180140zbMath1426.33016arXiv1801.05001MaRDI QIDQ5241331

Živorad Tomovski, Gauhar Rahman, Kottakkaran Sooppy Nisar

Publication date: 30 October 2019

Full work available at URL: https://arxiv.org/abs/1801.05001

zbMATH Keywords

Mellin transformbeta functionhypergeometric functionfractional derivativeAppell's functionextended hypergeometric function

Mathematics Subject Classification ID

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

Related Items

Generalized Extended Riemann-Liouville Type Fractional Derivative Operator ⋮ Hardy-Type Inequalities for an Extension of the Riemann- Liouville Fractional Derivative Operators ⋮ ON A CLASS OF FRACTIONAL HARDY-TYPE INEQUALITIES ⋮ On the Generalization of κ-Fractional Hilfer-Katugampola Derivative with Cauchy Problem ⋮ An extension of the Mittag-Leffler function and its associated properties ⋮ On a \(\psi \)-generalized fractional derivative operator of Riemann-Liouville with some applications ⋮ ON SOME WEIGHTED HARDY-TYPE INEQUALITIES INVOLVING EXTENDED RIEMANN-LIOUVILLE FRACTIONAL CALCULUS OPERATORS

Uses Software

• DLMF

Cites Work

• 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
• The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus
• An extension of Caputo fractional derivative operator and its applications
• EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
• Extension of the fractional derivative operator of the Riemann-Liouville
• On a new (p,q)-Mathieu-type power series and its applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item