FRACTIONAL INTEGRATIONS FOR THE NEW GENERALIZED HYPERGEOMETRIC FUNCTIONS

DOI10.56827/JRSMMS.2023.1002.6OpenAlexW4387304417MaRDI QIDQ6054597

Enes Ata, M. P. Chaudhary, Muhammad L. Kaurangini, U. M. Abubakar, İ. Onur Kıymaz

Publication date: 28 September 2023

Published in: JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES (Search for Journal in Brave)

Full work available at URL: https://rsmams.org/journals/articleinfo.php?articleid=851&tag=jrsmams

zbMATH Keywords

beta functionFox-Wright functionpathway transformSaigo fractional operatorSUM transform

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) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Cites Work

• Fractional operators with generalized Mittag-Leffler \(k\)-function
• FRACTIONAL CALCULUS OPERATORS AND THEIR IMAGE FORMULAS
• Certain Image Formulae and Fractional Kinetic Equations Involving Extended Hypergeometric Functions
• Fractional-Order Derivatives and Integrals: Introductory Overview and Recent Developments
• Solution of fractional kinetic equation by a class of integral transform of pathway type
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