Integer and Fractional order Laplace Transform.

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Bibliographic Details
Title: Integer and Fractional order Laplace Transform.
Authors: B., Brino Prabu1 brinoinfantprabu@gmail.com, J., Joshvarajarathinam2 jjrr40731@gmail.com, M., Abisha2 mabisha1996@gmail.com
Source: IAENG International Journal of Applied Mathematics. Dec2025, Vol. 55 Issue 12, p4318-4330. 13p.
Subjects: Laplace transformation, Mathematical transformations, Fourier series, Mathematical functions, Identities (Mathematics), Fractional differential equations, Gamma functions
Abstract: In this paper, we have extended the Laplace transform to the integer and fractional order. We have defined a new operator for the higher order of transforms, and these transforms have many applications. Several new identities have been derived by using the Gamma functions. Also, we discuss some applications in Fourier series. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:In this paper, we have extended the Laplace transform to the integer and fractional order. We have defined a new operator for the higher order of transforms, and these transforms have many applications. Several new identities have been derived by using the Gamma functions. Also, we discuss some applications in Fourier series. [ABSTRACT FROM AUTHOR]
ISSN:19929978