This analysis uncovers new subclasses of bi-univalent functions using Liouville–Caputo derivatives, suggesting novel results and implications.
In this study, we present two novel subclasses of bi-univalent functions defined in the open unit disk, utilizing Liouville–Caputo fractional derivatives. We find constraints on initial Taylor coefficients |c2|, |c3| for functions in these subclasses of bi-univalent functions. Additionally, by using the values of a2,a3 we determine the Fekete–Szegö inequality results. Moreover, a few new subclasses are deduced that have not been studied in relation to Liouville–Caputo fractional derivatives so far. The implications of the results are also emphasized. Our results are concrete examples of several earlier discoveries that are not only improved but also expanded upon.
No takes yet. Share an insight, caveat, or question.
Aldawish et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: