Solving Generalized Heat and Generalized Laplace Equations Using Fractional Fourier Transform

Autor:	Sri Sulasteri, Mawardi Bahri, Nasrullah Bachtiar, Jeffry Kusuma, Agustinus Ribal
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Fourier transform fractional Fourier transform generalized heat equation generalized Laplace equation sampling formula Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 7, Iss 7, p 557 (2023)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract7070557
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/c6873af8583041a69b52044dda747e29 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.