  Fractional Dzherbashian-Nersesian operator is considered and three famous
fractional order derivatives namely Riemann-Liouville, Caputo and Hilfer
derivatives are shown to be special cases of the earlier one. The expression
for Laplace transform of fractional Dzherbashian-Nersesian operator is
constructed. Inverse problems of recovering space dependent and time dependent
source terms of a time fractional diffusion equation with involution and
involving fractional Dzherbashian-Nersesian operator are considered. The
results on existence and uniqueness for the solutions of inverse problems are
established. The results obtained here generalize several known results.
