Abstract
Time-fractional diffusion equation with mass absorption and the harmonic source term is studied under zero initial conditions. The Caputo derivative of the order 0 < α ≤ 2 is used. Different formulation of the problem for integer values α = 1 and α = 2 are discussed. The integral transform technique is used. The results of numerical calculations are illustrated graphically.
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Povstenko, Y., Kyrylych, T. Time-fractional diffusion with mass absorption under harmonic impact. FCAA 21, 118–133 (2018). https://doi.org/10.1515/fca-2018-0008
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DOI: https://doi.org/10.1515/fca-2018-0008