An application of some fractional integrals

DOI10.1017/S0017089500003694zbMath0409.35003MaRDI QIDQ4196769

John S. Lowndes

Publication date: 1979

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Helmholtz EquationBessel FunctionsDifferential OperatorsErdelyi-Kober-Operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Solutions to PDEs in closed form (35C05) Other special methods applied to PDEs (35A25)

Related Items (9)

Solution of the Cauchy problem for a hyperbolic equation of the fourth order with the Bessel operator by the method of transmutation operators ⋮ Solution of the Goursat problem for the Boussinesq-Love equation with the Bessel operator by the method of transmutation operators ⋮ On Some Generalizations of the Properties of the Multidimensional Generalized Erdélyi–Kober Operators and Their Applications ⋮ Cauchy problems for second order hyperbolic differential equations with constant coefficients ⋮ Multidimensional generalized Erdélyi-Kober operator and its application to solving Cauchy problems for differential equations with singular coefficients ⋮ ABOUT SOME GENERALIZATIONS OF THE PROPERTIES OF THE ERD´ELYI-KOBER OPERATOR AND THEIR APPLICATION ⋮ Solution of the Cauchy Problem for the Four-Dimensional Hyperbolic Equation with Bessel Operator ⋮ Solution of the Cauchy Problem for Generalized Euler-Poisson-Darboux Equation by the Method of Fractional Integrals ⋮ On some generalizations of properties of the Lowndes operator and their applications to partial differential equations of high order

Cites Work

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• An application of fractional integrals
• A generalisation of the Erdélyi-Kober operators

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