Towards new general double integral transform and its applications to differential equations

In this paper, a new general double integral transform is introduced. We present its essential properties and proved some useful results such as the double convolution theorem and derivative properties. Furthermore, we apply the proposed double general integral transform to solve some partial differ...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2022-03, Vol.45 (4), p.1916-1933
Main Authors: Meddahi, Meryem, Jafari, Hossein, Yang, Xiao‐Jun
Format: Article
Language:English
Subjects:
Derivatives
double convolution theorem
double transform
Integral transforms
Integrals
Klein–Gordon equations
Mathematical analysis
partial derivative
Partial differential equations
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Summary:In this paper, a new general double integral transform is introduced. We present its essential properties and proved some useful results such as the double convolution theorem and derivative properties. Furthermore, we apply the proposed double general integral transform to solve some partial differential equations such as telegraph and Klein–Gordon equations.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7898