Some relations on the double \(\mathcal {L}_{22}\)-integral transform and their applications

DOI10.1007/s00009-018-1087-yzbMath1391.44006OpenAlexW2998950554MaRDI QIDQ1635729

Fatih Aylıkçı, Neşe Dernek

Publication date: 1 June 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1087-y

zbMATH Keywords

Laplace transformconvolutionintegral equationspartial differential equationsdouble Laplace transform

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Laplace transform (44A10) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Multiple integral transforms (44A30)

Cites Work

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• A Parseval-Goldstein type theorem on the Widder potential transform and its applications
• New identities involving the Laplace and the \({\mathcal L}_2\)-transforms and their applications
• A new method of solving Bessel's differential equation using the \(\mathcal L_2\)-transform
• The double Laplace transforms and their properties with applications to functional, integral and partial differential equations
• A theorem on a Laplace‐type integral transform and its applications
• An inversion technique for l_2-transform with applications
• A generalized integral transform and an alternative technique for solving linear ordinary differential equations

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