Abstract
The present paper continues the study on the relatively new concept of fuzzy differential subordination conducted in some recently published cited papers. In this article, certain fuzzy subordination results for analytical functions involving the Atangana–Baleanu fractional integral of Bessel functions are presented. Theorems giving the best dominants for some fuzzy differential subordinations are proved, and interesting corollaries are provided with the use of particular functions as fuzzy best dominants.
Highlights
Introduction and Preliminary ResultsThe study performed to obtain the original results of this paper follows a line of research that combines the notion of fuzzy differential subordination with different types of operators
Introduction and Preliminary ResultsCitation: Alb Lupaş, A.; Cătaş, A.Fuzzy Differential Subordination of the Atangana–Baleanu FractionalIntegral
The original results are obtained using the theory of fuzzy differential subordination on the function ABIzλ wδ,b,c (z) given in Definition 5, introduced with the help of the Atangana–Baleanu fractional derivative
Summary
The study performed to obtain the original results of this paper follows a line of research that combines the notion of fuzzy differential subordination with different types of operators. Such studies have recently been published [8,9,10,11], proving that the topic is of interest for researchers. A new function called the Mittag-Leffler–confluent hypergeometric function is introduced in [18] using Riemann-Liouville fractional derivatives and integrals, and certain integral equations with several analytical implementations are examined The study on this function is continued in [19] where new extensions on its fractional differential and integral properties are given.
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