New Stability Results of an ABC Fractional Differential Equation in the Symmetric Matrix-Valued FBS

0576148 - ÚTIA 2024 RIV CH eng J - Článek v odborném periodiku
Eidinejad, Z. - Saadati, R. - Mesiar, Radko - Li, Ch.
New Stability Results of an ABC Fractional Differential Equation in the Symmetric Matrix-Valued FBS.
Symmetry-Basel. Roč. 14, č. 12 (2022), č. článku 2667. E-ISSN 2073-8994
Institucionální podpora: RVO:67985556
Klíčová slova: stability analysis * aggregation function * control function * fractional differential equations * fuzzy sets * ixed point
Obor OECD: Pure mathematics
Impakt faktor: 2.7, rok: 2022
Způsob publikování: Open access
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.
Trvalý link: https://hdl.handle.net/11104/0346453