Nonlocal controllability of mixed volterra-fredholm type fractional semilinear integro-differential inclusions in banach spaces

摘要

In this paper, we establish a sufficient conditions for the nonlocal controllability of mixed Volterra- Fredholm type fractional semilinear integro-differential inclusions in Banach spaces. The results are obtained by using fractional calculus, operator semigroups and Bohnenblust-Karlin's fixed point theorem. Finally, an example is given to illustrate the theoretical results.