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Mathematical Preliminaries

In: Linear Fractional Diffusion-Wave Equation for Scientists and Engineers

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  • Yuriy Povstenko

    (Jan Długosz University in Częstochowa)

Abstract

The integral transform technique allows us to remove partial derivatives from the considered equations and to obtain the algebraic equation in a transform domain. Here we briefly recall the integral transforms which are used in this book to reduce the differential operators to an algebraic form. The Laplace transform with respect to time is marked by an asterisk, the Fourier transforms are denoted by a tilde, the Hankel transforms are indicated by a hat and the Legendre transform is designated by a star.

Suggested Citation

  • Yuriy Povstenko, 2015. "Mathematical Preliminaries," Springer Books, in: Linear Fractional Diffusion-Wave Equation for Scientists and Engineers, edition 127, chapter 0, pages 5-34, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-17954-4_2
    DOI: 10.1007/978-3-319-17954-4_2
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