# Solving Generalized Heat and Generalized Laplace Equations Using Fractional Fourier Transform
> Sulasteri S.

URL kanonis: https://discover.unhas.ac.id/publications/solving-generalized-heat-and-generalized-laplace-equations-using-fractional-four
Jurnal / Konferensi: Fractal and Fractional
Tahun terbit: 2023
DOI: https://doi.org/10.3390/fractalfract7070557
ISSN: 25043110
Kuartil SJR: Q2
Citations: 4

## Authors
- Sulasteri S.

## Abstract
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 the classical Fourier transform. We also formulate its solution using a sampling formula related to the fractional Fourier transform. The fractional Fourier transform is introduced, and related theorems and essential properties are collected. Several results related to the sampling formula are derived. A few examples are presented to illustrate the effectiveness and powerfulness of the proposed method compared to the classical Fourier transform method.

## Keywords
- Fractional Fourier transform
- Laplace transform
- Mathematics
- Laplace transform applied to differential equations
- Fourier transform
- Discrete Fourier transform (general)
- Mathematical analysis
- Heat equation
- Two-sided Laplace transform
- Mellin transform
- Applied mathematics
- Fourier analysis

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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