Fractional Fourier Transform
نویسندگان
چکیده
Abstract The integral transform method based on joint application of a fractional generalization of the Fourier transform and the classical Laplace transform is applied for solving Cauchy-type problems for the time-space fractional diffusion-wave equations expressed in terms of the Caputo time-fractional derivative and the generalized Weyl space-fractional operator. The solutions, representing the probability density function, are obtained in integral form where the kernels are Green’s functions represented in terms of the Fox H-functions. It is shown that the results derived include some well known results as particular cases.
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