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

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)

Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika
Vol. 8 No. 4 (2025): Volume 8 Nomor 4 Tahun 2025

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.