@article{Raja2023, 
author = {Marimuthu Mohan Raja and Velusamy Vijayakumar and Anurag Shukla and Kottakkaran Sooppy Nisar and Wedad Albalawi and Abdel-Haleem Abdel-Aty},
title = {A new discussion concerning to exact controllability for fractional mixed Volterra-Fredholm integrodifferential equations of order        r    ∈  (  1  ,  2  ) with impulses},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {5},
pages = {10802-10821},
keywords = {fractional differential equations, controllability, impulsive system, measure of noncompactness, Volterra-Fredholm type, sectorial operators},
url = {https://www.sciopen.com/article/10.3934/math.2023548},
doi = {10.3934/math.2023548},
abstract = {In this article, we look into the important requirements for exact controllability of fractional impulsive differential systems of order    1  <  r  <  2. Definitions of mild solutions are given for fractional integrodifferential equations with impulses. In addition, applying fixed point methods, fractional derivatives, essential conditions, mixed Volterra-Fredholm integrodifferential type, for exact controllability of the solutions are produced. Lastly, a case study is supplied to show the illustration of the primary theorems.}
}