We investigate an optimal control problem for a linear parabolic equation with a non-local in time integral term, modeling heat and mass transfer processes that depend on the system's history. Such models are crucial in sustainable development, as they describe processes with memory effects in energy systems, environmental engineering, and material science. We introduce the concept of weak generalized solutions and establish the well-posedness of the initial-boundary value problem. We concentrate on point control case through a special operator appearing on the right-hand side of the equation. To address the optimal control problem, we consider a regularized formulation and prove the existence of solutions for both the original and regularized optimal control problems. Furthermore, we claim that as the regularization parameter approaches zero, the solutions of the regularized problem converge to the solutions of the original problem. For the regularized problem, we derive the Fréchet derivative of the quality functional, enabling the application of gradient-based numerical methods to compute the optimal control. Finally, we present numerical examples illustrating the efficiency of this approach in approximating optimal control solutions. Our results contribute to the theoretical and computational understanding of pointwise control in systems with memory effects, offering insights for sustainable technological advancements.