Space-Time Fractional Heat Equation's Solutions with Fractional Inner Product

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Atıf İçin Kopyala

Çetinkaya S., Demir A.

Turkic World Mathematical Society Journal of Applied and Engineering Mathematics, cilt.13, sa.2, ss.462-469, 2023 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 13 Sayı: 2
• Basım Tarihi: 2023
• Dergi Adı: Turkic World Mathematical Society Journal of Applied and Engineering Mathematics
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
• Sayfa Sayıları: ss.462-469
• Kocaeli Üniversitesi Adresli: Evet

Özet

The main goal of this study is to determine the analytic solution of the one-dimensional initial boundary value problem including sequential space-time fractional differential equation with boundary conditions in the Neumann sense. The solution of the space-time fractional diffusion problem is accomplished in series form by employing the separation of variables method. To obtain coefficients in the Fourier series is utilized a fractional inner product. The obtained results are supported by an illustrative example. Moreover, it is observed that the implementation of the method is straightforward and smooth.