  Direct and inverse source problems of a fractional diffusion equation with
regularized Caputo-like counterpart hyper-Bessel operator are considered.
Solutions to these problems are constructed based on appropriate eigenfunction
expansion and results on existence and uniqueness are established. To solve the
resultant equations, a solution to a non-homogeneous fractional differential
equation with regularized Caputo-like counterpart hyper-Bessel operator is also
presented.
