Controllability problem of an evolution equation with singular memory

Sumit Arora, Rodrigo Ponce

This work addresses control problems governed by a semilinear evolution equation with singular memory kernel $\kappa (t)=\alpha e^{-\beta t}\frac{t^{\nu -1}}{\Gamma (\nu )}$, where $\alpha >0,\beta \ge 0$, and $0<\nu <1$.…