An Analytical Solution of the Generalized Heat Equation Using the Offset Fractional Fourier Transform

In the present work, the main objective is to explore the solution of generalized heat using the offset fractional Fourier transform. The offset fractional Fourier transform is introduced, related theorems and essential properties are collected. Some examples are presented to illustrate the effectiveness and efficiency of the proposed method.

Authors

Institutions

Publication Details

Journal
Proximal Jurnal Penelitian Matematika dan Pendidikan Matematika
Published
2025-10-12
DOI
https://doi.org/10.30605/proximal.v8i4.6872
Primary Topic
Mathematical Analysis and Transform Methods
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

An Analytical Solution of the Generalized Heat Equation Using the Offset Fractional Fourier Transform

Wahyuni Ekasasmita, Nasrullah Bachtiar, St. Nurhilmah Busrah, Fitriyani Syamsuddin
Proximal Jurnal Penelitian Matematika dan Pendidikan Matematika
Mathematical Analysis and Transform Methods
article

An Analytical Solution of the Generalized Heat Equation Using the Offset Fractional Fourier Transform

Wahyuni Ekasasmita, Nasrullah Bachtiar, St. Nurhilmah Busrah, Fitriyani Syamsuddin
article en

Abstract

In the present work, the main objective is to explore the solution of generalized heat using the offset fractional Fourier transform. The offset fractional Fourier transform is introduced, related theorems and essential properties are collected. Some examples are presented to illustrate the effectiveness and efficiency of the proposed method.

Proximal Jurnal Penelitian Matematika dan Pendidikan MatematikaVol. 8(4)
Institut Teknologi Indonesia (ID), Sumatera Institute of Technology (ID), Universitas Muhammadiyah Sumatera Utara (ID), State University of Makassar (ID)
Openalex Percentile: Top 60%
Mathematical Analysis and Transform Methods
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.