Abstract
In this paper, Hyers–Ulam stability of the diffusion equation on the half space with is investigated: where , y>0, and t>0. Using integral transforms, precisely, Fourier transform with respect to the tangential space x and Laplace transform for time t, we obtain the generalized Hyers–Ulam stability of diffusion equation in the half space involving special functions such as gamma and error functions.
Disclosure statement
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