Zobrazeno 1 - 5
of 5
pro vyhledávání: '"NASRULLAH BACHTIAR"'
Publikováno v:
Jurnal Matematika UNAND, Vol 13, Iss 4, Pp 316-323 (2024)
We start by defining the short-time fractional Fourier transform in this paper, which is a natural generalization of the fractional Fourier transform. We then investigate its essential properties and explore an uncertainty principle related to this p
Externí odkaz:
https://doaj.org/article/c547257b5d9749669dfbb1155a52821b
Publikováno v:
Royal Society Open Science, Vol 11, Iss 5 (2024)
The coupled fractional Wigner–Ville distribution is a more general version of the fractional Wigner–Ville distribution. Main properties including boundedness, Moyal’s formula and inversion formula are studied in detail for the transformation. A
Externí odkaz:
https://doaj.org/article/62519707b48d48bda010d927cebb4e21
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 8, Iss , Pp 100547- (2023)
This paper is devoted to the study of the quaternion Laplace transform, which is a natural generalization of the classical Laplace transform using the quaternion algebra. We find that some of its properties such as derivative, convolution and correla
Externí odkaz:
https://doaj.org/article/23106072f37443c08eb5d4cf3a7d59d1
Publikováno v:
Fractal and Fractional, Vol 7, Iss 7, p 557 (2023)
In the present work, the main objective is to find the solution of the generalized heat and generalized Laplace equations using the fractional Fourier transform, which is a general form of the solution of the heat equation and Laplace equation using
Externí odkaz:
https://doaj.org/article/c6873af8583041a69b52044dda747e29
Publikováno v:
Symmetry, Vol 15, Iss 4, p 815 (2023)
The Fourier transform occupies a central place in applied mathematics, statistics, computer sciences, and engineering. In this work, we introduce the one-dimensional quaternion Fourier transform, which is a generalization of the Fourier transform. We
Externí odkaz:
https://doaj.org/article/3eb84c2e30994d2da3832abfaa1b96ea