A fractional integral operator corresponding to negative powers of a certain second-order differential operator

DOI10.1016/0022-247X(79)90257-9zbMath0443.44006OpenAlexW2090865839MaRDI QIDQ1144229

Ida G. Sprinkhuizen-Kuyper

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(79)90257-9

zbMATH Keywords

fractional integralmethod of adjointsErdelyi integral formulaErdelyi-Kober operatorspair of hypergeometric integral equationstransform calculus

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Integral operators (45P05) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Integral equations with miscellaneous special kernels (45H05)

Related Items (13)

Solution to the Fractional Order Euler-Poisson-Darboux Equation ⋮ On the fractional Bessel operator ⋮ Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration ⋮ The Problem for a Mixed Equation with Fractional Power of the Bessel Operator ⋮ Solving the Euler-Poisson-Darboux equation of fractional order ⋮ On spectral polar fractional Laplacian ⋮ Numerical study of distributed-order Bessel fractional derivative with application to Euler-Poisson-Darboux equation ⋮ Transmutation operators for eigenfunctions of certain differentiation operators and their fractional powers ⋮ On fractional powers of the Bessel operator on semiaxis ⋮ On Some Generalizations of the Properties of the Multidimensional Generalized Erdélyi–Kober Operators and Their Applications ⋮ Fractional Bessel Integrals and Derivatives on Semi-axes ⋮ Elliptic transmutation I ⋮ Some remarks on the generalized Gelfand-Levitan equation

Cites Work

• Fractional calculus and its applications. Proceedings of the international conference held at the University of New Haven, June 1974
• An application of fractional integrals
• Integral representations for Jacobi polynomials and some applications
• The Analytic Continuation of the Riemannliouville Integral in the Hyperbolic Case
• Jacobi Polynomials, III. An Analytic Proof of the Addition Formula
• Two integral transform pairs involving hypergeometric functions
• 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 fractional integral operator corresponding to negative powers of a certain second-order differential operator