Solution to unsteady fractional heat conduction in the quarter-plane via the joint Laplace-Fourier sine transforms


  • Arman Aghili University of Guilan


Laplace transform, Fourier transform, Hankel transform, Riemann-Liouville fractional derivative, Caputo fractional derivative, Modified Bessel functions, Stieltjes transform, Heat conduction, Fokker-Planck equation


In this article, the author implemented the joint transform method, for solving the boundary value problems of time fractional heat equation. The results reveal that the integral transform method is reliable and efficient. Illustrative examples are also provided.


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How to Cite

Aghili, A. (2021). Solution to unsteady fractional heat conduction in the quarter-plane via the joint Laplace-Fourier sine transforms. J. Numer. Anal. Approx. Theory, 50(1), 12–26. Retrieved from