Publication details

Journal Article

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

Eidinejad Z., Saadati R., Mesiar Radko, Li Ch.

: Symmetry-Basel vol.14, 2667

: stability analysis, aggregation function, control function, fractional differential equations, fuzzy sets, ixed point

: 10.3390/sym14122667

: http://library.utia.cas.cz/separaty/2023/E/mesiar-0576148.pdf

: https://www.mdpi.com/2073-8994/14/12/2667

(eng): 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.

: BA

: 10101