  This paper discusses a multi-term time-fractional delay differential equation
in a real Hilbert space. An iterative scheme for a multi-term time-fractional
differential equation is established using Rothe's method. The method of
semi-discretization is extended to this kind of time fractional problem with
delay in the case that the time delay parameter $\nu >0$ satisfies $\nu\leq T$,
where $T$ denotes the final time. We apply the accretivity of the operator $A$
in an iterative scheme to establish the existence and regularity of strong
solutions to the considered problem. Finally, an example is provided to
demonstrate the abstract result.
