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

Authors

  • Nasrullah Bachtiar Department of Actuarial Sciences, Institut Teknologi Sumatera, Lampung, Indonesia
  • St. Nurhilmah Busrah Department of Mathematics, Universitas Negeri Makassar, Makassar, Indonesia
  • Fitriyani Syamsuddin Department of Actuarial Sciences, Universitas Muhammadiyah Kolaka Utara, Kolaka Utara, Indonesia
  • Wahyuni Ekasasmita Department of Actuarial Sciences, Institut Teknologi Bacharuddin Jusuf Habibie, Parepare, Indonesia

DOI:

https://doi.org/10.30605/proximal.v8i4.6872

Keywords:

Offset fractional Fourier transform, Generalized heat equation

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.

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Published

2025-10-12

How to Cite

Nasrullah Bachtiar, Busrah, S. N., Fitriyani Syamsuddin, & Wahyuni Ekasasmita. (2025). An Analytical Solution of the Generalized Heat Equation Using the Offset Fractional Fourier Transform. Proximal: Jurnal Penelitian Matematika Dan Pendidikan Matematika, 8(4), 1021–1031. https://doi.org/10.30605/proximal.v8i4.6872

Issue

Vol. 8 No. 4 (2025): Volume 8 Nomor 4 Tahun 2025

Section

Articles

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Copyright (c) 2025 Nasrullah Bachtiar, St. Nurhilmah Busrah, Fitriyani Syamsuddin, Wahyuni Ekasasmita

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