Solving the Cauchy Problem for a Fractional Parabolic Degenerate Equation Using the Hankel Transform Method

In this paper, we aim to study the Cauchy problem posed for a fractional order equation. The general solution of the time-fractional equation of the given parabolic type is found by the Fourier method. The solution consists of the Bessel function and the Mittag-Leffler function. Unknown coefficients are found by Hankel transformation. It is shown that the constructed solution satisfies the initial condition and equation. Special cases of parameter \(\nu\) are considered.