0576148 20240903115334.320231005235959.9 85144846444 000903156200001 10.3390/sym14122667 16 s. E cav_un_epca*04307432073-899414MDPI stability analysis aggregation function control function fractional differential equations fuzzy sets ixed point cav_un_auth*0455747 Eidinejad Z. IR 25 cav_un_auth*0434048 Saadati R. IR 25 cav_un_auth*0101163 Mesiar Radko UTIA-B Ekonometrie Department of Econometrics E E Department of Econometrics 25 K Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0455888 Li Ch. CA 25 http://library.utia.cas.cz/separaty/2023/E/mesiar-0576148.pdf https://www.mdpi.com/2073-8994/14/12/2667 By using a class of aggregation control functions, we introduce the concept of multiple-HU-OS1-stability and get an optimum approximation for a nonlinear single fractional differential equation (NS-ABC-FDE) with a Mittag-Leffler kernel. We apply an alternative fixed-point theorem to prove the existence of a unique solution and the multiple-HU-OS1-stability for the NS-ABC-FDE in the symmetric matrix-valued FBS. Finally, with an example, we show the application of the obtained results. WOS BA 10000 10100 10101 2024 4 RVO:67985556 https://hdl.handle.net/11104/0346453 S 2667 3+4 Article Multidisciplinary Sciences A MULTIDISCIPLINARYSCIENCES 2.7 0.9 2.4 0.02545 0.406 22136 0.483 2.400 2633 Q2 51.4 Q4 Q3 0.85 Q1 51.4 2022 85144846444 SCOPUS PUBMED 000903156200001 WOS cav_un_epca*0430743 Symmetry-Basel 2073-8994 2073-8994 Roč. 14 č. 12 2022 MDPI ONLINE