Explicit representation of discrete fractional resolvent families in Banach spaces

Jorge Gonzalez-Camus, Rodrigo Ponce

In this paper we introduce a discrete fractional resolvent family $\{S_{\alpha ,\beta }^n{\}}_{n\in {\mathbb{N}}_0}$ generated by a closed linear operator in a Banach space $X$ for a given $α,β>0.…