TY - JOUR AU - Liang, Yue PY - 2024 TI - Study on the controllability of delayed evolution inclusions involving fractional derivatives JO - AIMS Mathematics SP - 17984 EP - 17996 VL - 9 IS - 7 AB - This paper dealt with the infinite controllability of delayed evolution inclusions with α-order fractional derivatives in Fr e ´ chet spaces, where α ∈ ( 1 , 2 ). The controllability conclusion was acquired without any compactness for the nonlinear term, the cosine family, and the sine family. The investigation was based on a nonlinear alternative and the cosine family theory. An application of our findings was provided. UR - https://doi.org/10.3934/math.2024876 DO - 10.3934/math.2024876