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 $\hat{I}º(t)=\hat{I}\pm e^{-{\hat{I}}^{2}t}\frac{t^{\hat{I}½-1}}{\hat{I}“(\hat{I}½)}$, where $\hat{I}\pm >0,{\hat{I}}^2\ge 0$, and $…