On Some Generalizations of the Properties of the Multidimensional Generalized Erdélyi–Kober Operators and Their Applications

DOI10.1007/978-3-030-35914-0_5zbMath1501.47086OpenAlexW3015382823MaRDI QIDQ3296645

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Publication date: 1 July 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-35914-0_5

zbMATH Keywords

Cauchy problemBessel differential operatorfractional integrals and derivativesmultidimensional Erdélyi-Kober operatorsmultidimensional polycaloric equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integral operators (47G10) Second-order hyperbolic equations (35L10)

Cites Work

• On the boundedness of hyperbolic Riesz B-potential
• A fractional integral operator corresponding to negative powers of a certain second-order differential operator
• Multidimensional fractional integration operators associated with hypergeometric functions
• On certain multidimensional generalized Kober operators
• On a singular parabolic equation related to axially symmetric heat potentials
• On multivariate fractional integration operators
• The Sobolev theorem for the Riesz \(B\)-potentials
• On fractional powers of the Bessel operator on semiaxis
• Multidimensional generalized Erdélyi-Kober operator and its application to solving Cauchy problems for differential equations with singular coefficients
• An application of fractional integrals
• Cauchy's problem for a singular parabolic partial differential equation
• L'intégrale de Riemann-Liouville et le problème de Cauchy
• Buschman-Erdelyi transmutations, classification and applications
• Fractional Powers of a Class of Ordinary Differentilal Operators
• An application of some fractional integrals
• Applications of integral transforms composition method (ITCM) to wave-type singular differential equations and index shift transmutations
• ABOUT SOME GENERALIZATIONS OF THE PROPERTIES OF THE ERD´ELYI-KOBER OPERATOR AND THEIR APPLICATION
• On some generalizations of properties of the Lowndes operator and their applications to partial differential equations of high order
• Partial Differential Equations with Variable Exponents
• The general form of the Euler--Poisson--Darboux equation and application of transmutation method
• A generalisation of the Erdélyi-Kober operators
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