@article{Aderyani2023, 
author = {Safoura Rezaei Aderyani and Reza Saadati and Donal O'Regan and Fehaid Salem Alshammari},
title = {Application of aggregated control functions for approximating        C  -Hilfer fractional differential equations},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {11},
pages = {28010-28032},
keywords = {aggregation maps, special functions, stability},
url = {https://www.sciopen.com/article/10.3934/math.20231433},
doi = {10.3934/math.20231433},
abstract = {The main issue we are studying in this paper is that of aggregation maps, which refers to the process of combining various input values into a single output. We apply aggregated special maps on Mittag-Leffler-type functions in one parameter to get diverse approximation errors for fractional-order systems in Hilfer sense using an optimal method. Indeed, making use of various well-known special functions that are initially chosen, we establish a new class of matrix-valued fuzzy controllers to evaluate maximal stability and minimal error. An example is given to illustrate the numerical results by charts and tables.}
}