Computation of fractional integrals via functions of hypergeometric and Bessel type

DOI10.1016/S0377-0427(00)00291-0zbMath0966.65022WikidataQ127946051 ScholiaQ127946051MaRDI QIDQ1571021

Juan J. Trujillo, Anatoliy Aleksandrovich Kilbas

Publication date: 1 August 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

modified Bessel function of the third kindLiouville and Erdelyi-Kober-type fractional integralsTricomi confluent hypergeometric function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (9)

New Metrics from a Fractional Gravitational Field ⋮ Existence and non-existence of positive solutions of BVPs for fractional order elastic beam equations with a non-caratheodory nonlinearity ⋮ Positive solutions for nonlinear fractional differential equations with coefficient that changes sign ⋮ Erdélyi-Kober fractional integral operators from a statistical perspective -II ⋮ Certain inequalities for the modified Bessel-type function ⋮ MULTIPLE POSITIVE SOLUTIONS OF BVPS FOR SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-CARATHEODORY NONLINEARITIES ⋮ Unnamed Item ⋮ Asymptotic representations for hypergeometric-Bessel type function and fractional integrals ⋮ Existence of positive solution for some class of nonlinear fractional differential equations

Cites Work

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• Fractional Derivatives and Special Functions
• Bemerkungen zur Meijer‐Transformation und Anwendungen
• Leibniz Rule for Fractional Derivatives Generalized and an Application to Infinite Series
• Taylor’s Series Generalized for Fractional Derivatives and Applications

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