@article{Moumen2023, 
author = {Abdelkader Moumen and Ammar Alsinai and Ramsha Shafqat and Nafisa A. Albasheir and Mohammed Alhagyan and Ameni Gargouri and Mohammed M. A. Almazah},
title = {Controllability of fractional stochastic evolution inclusion via Hilfer derivative of fixed point theory},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {9},
pages = {19892-19912},
keywords = {controllability, fractional calculus, FSD-Inclusions, multi-valued maps, Hilfer derivative, fixed point theory},
url = {https://www.sciopen.com/article/10.3934/math.20231014},
doi = {10.3934/math.20231014},
abstract = {In this study, we use the Hilfer derivative to analyze the approximate controllability of fractional stochastic evolution inclusions (FSEIs) with nonlocal conditions. By assuming that the corresponding linear system is approximately controllable, we obtain a novel set of adequate requirements for the approximate controllability of nonlinear FSEIs in meticulous detail. The fixed-point theorem for multi-valued operators and fractional calculus are used to achieve the results. Finally, we use several instances to demonstrate our findings.}
}