On generalized fractional integral operators and the generalized Gauss hypergeometric functions

DOI10.1155/2014/630840zbMath1474.33027OpenAlexW2123537734WikidataQ59040191 ScholiaQ59040191MaRDI QIDQ1724603

Dumitru Baleanu, Praveen Agarwal

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/630840

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Generalized hypergeometric series, ({}_pF_q) (33C20) Appell, Horn and Lauricella functions (33C65)

Related Items (10)

Generalized fractional integral operators and the multivariable \(H\)-function ⋮ Some results on the extended beta and extended hypergeometric functions ⋮ Some new existence and uniqueness results of solutions to semilinear impulsive fractional integro-differential equations ⋮ The extended matrix-variate beta probability distribution on symmetric matrices ⋮ Hermite-Hadamard type inequalities for superquadratic functions via fractional integrals ⋮ Unnamed Item ⋮ Composition formulas of Bessel-Atruve kernel function ⋮ On existence, uniqueness and Ulam's stability results for boundary value problems of fractional iterative integrodifferential equations ⋮ New properties for several classes of functions related to the Fox-Wright functions ⋮ Unnamed Item

Uses Software

• DLMF

Cites Work

• Extension of gamma, beta and hypergeometric functions
• Extended hypergeometric and confluent hypergeometric functions
• On the solution set for a class of sequential fractional differential equations
• The H-Function
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