Correlation theorem for the Fractional Fourier-Laplace Transform and Applications


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Authors

  • Vidya Sharma Department of Mathematics, Smt. Narsamma Arts, Commerce and Science College, Kiran Nagar, Amravati, Maharashtra, India
  • Akash Patalwanshi Department of Mathematics, Smt. Narsamma Arts, Commerce and Science College, Kiran Nagar, Amravati, Maharashtra, India

Keywords:

Fractional Fourier transform, Fractional Laplace transform, Fractional Fourier-Laplace transform, wave equation

Abstract

In this paper, we introduce a novel definition of the cross-correlation operation for the fractional Fourier-Laplace transform (FrFLT) and establish its corresponding correlation theorem. We further explore the application of the FrFLT to generalized wave equations, thereby enriching its theoretical foundation. Our findings not only enhance the mathematical framework underlying the FrFLT but also underscore its promising potential in engineering, mathematical physics, and signal processing.

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Published

25-03-2025

How to Cite

Vidya Sharma, & Akash Patalwanshi. (2025). Correlation theorem for the Fractional Fourier-Laplace Transform and Applications. International Journal of Mathematics And Its Applications, 13(1), 103–111. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1548

Issue

Vol. 13 No. 1 (2025)

Section

Research Article

License

Copyright (c) 2025 International Journal of Mathematics And its Applications

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