@article{Hussain2023, 
author = {Sadam Hussain and Muhammad Sarwar and Kottakkaran Sooppy Nisar and Kamal Shah},
title = {Controllability of fractional differential evolution equation of order    γ  ∈  (  1  ,  2  ) with nonlocal conditions},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {6},
pages = {14188-14206},
keywords = {controllability, fractional differential evolution equations, positive mild solution, fixed points},
url = {https://www.sciopen.com/article/10.3934/math.2023726},
doi = {10.3934/math.2023726},
abstract = {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.}
}