Fuzzy Differential Subordination and Superordination Results Involving the q-Hypergeometric Function and Fractional Calculus Aspects
Copyright policy )Fuzzy Differential Subordination and Superordination Results Involving the q-Hypergeometric Function and Fractional Calculus Aspects
The concepts of fuzzy differential subordination and superordination were introduced in the geometric function theory as generalizations of the classical notions of differential subordination and superordination. Fractional calculus is combined in the present paper with quantum calculus aspects for obtaining new fuzzy differential subordinations and superordinations. For the investigated fuzzy differential subordinations and superordinations, fuzzy best subordinates and fuzzy best dominants were obtained, respectively. Furthermore, interesting corollaries emerge when using particular functions, frequently involved in research studies due to their geometric properties, as fuzzy best subordinates and fuzzy best dominants. The study is finalized by stating the sandwich-type results connecting the previously proven results.
- University of Oradea Romania
- 1 Decembrie 1918 University Romania
- University of Oradea (Roumanie) Romania
fuzzy best subordinate, <i>q</i>-hypergeometric function, fuzzy best dominant, fuzzy differential subordination, fuzzy differential superordination, QA1-939, Mathematics, Riemann–Liouville fractional integral
fuzzy best subordinate, <i>q</i>-hypergeometric function, fuzzy best dominant, fuzzy differential subordination, fuzzy differential superordination, QA1-939, Mathematics, Riemann–Liouville fractional integral
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