Controllability of fractional differential evolution equation of order γ ∈ (1, 2) with nonlocal conditions

This paper investigates the existence of positive mild solutions and controllability for fractional differential evolution equations of order γ ∈ (1, 2) with nonlocal conditions in Banach spaces. Our approach is based on Schauder’s fixed point theorem, Krasnoselskii’s fixed point theorem, and the Arzelà-Ascoli theorem. Finally, we include an example to verify our theoretical results.