Non-axisymmetric solutions to time-fractional heat conduction equation in a half-space in cylindrical coordinates

Анотація

Non-axisymmetric solutions to time-fractional heat conduction equation with a source term in cylindrical coordinates are obtained for a half-space. The solutions are found using the Laplace transform with respect to time, the Hankel transform with respect to the radial coordinate, the finite Fourier transform with respect to the angular coordinate, and sine or cosine Fourier transform with respect to the bulk coordinate. Numerical results are illustrated graphically.