A modified Bessel-type integral transform and its compositions with fractional calculus operators on spaces \(F_{p,\mu}\) and \(F_{p,\mu}^{\prime}\)

DOI10.1016/S0377-0427(00)00286-7zbMath0958.44004OpenAlexW1993215612MaRDI QIDQ1571015

Megumi Saigo, Hans-Jürgen Glaeske, Anatoliy Aleksandrovich Kilbas

Publication date: 26 October 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00286-7

zbMATH Keywords

asymptotic behaviourfractional calculus operators of Riemann-Liouville typeMcBride spacesMellin imagemodified Bessel-type integral transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33)

Related Items (7)

Differential equations of fractional order:methods results and problem —I ⋮ Certain composition formulae for the fractional integral operators ⋮ Unnamed Item ⋮ 𝒫-transforms ⋮ Certain inequalities for the modified Bessel-type function ⋮ Computation of fractional integrals via functions of hypergeometric and Bessel type ⋮ Asymptotic representations for hypergeometric-Bessel type function and fractional integrals

Cites Work

• On inversion of \(H\)-transform in \({\mathfrak L}_{v,r}\)-space
• Bessel-type integral transforms on \({\mathcal L}_{\nu,r}\)-spaces
• Fractional Powers of a Class of Ordinary Differentilal Operators
• A Theory of Fractional Integration for Generalized Functions
• A Technique for Studying the Boundedness and Extendability of Certain Types of Operators
• Fractional Calculus Operators Involving the Gauss Function on Spaces F_p,μand F'_p,μ
• On generalized fractional integration operators with fox'sH-Functions on spaces F_p,μand
• On integral transformations with G-function kernels
• Integral transforms with fox'sH-function in spaces of summable functions
• Bemerkungen zur Meijer‐Transformation und Anwendungen
• Differentiationssätze der ℒ‐Transformation und Differentialgleichungen nach dem Operator \documentclass{article}\pagestyle{empty}\begin{document}$ \frac{d}{dt} t^{\frac{1}{n}-v} \left( t^ {1-\frac{1}{n}} \frac{d}{dt}\right)^{n-1} t^{v+1-\frac{2}{n}} $\end{document}
• Fractional Integrals of Distributions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A modified Bessel-type integral transform and its compositions with fractional calculus operators on spaces \(F_{p,\mu}\) and \(F_{p,\mu}^{\prime}\)