New fuzzy differential subordinations

Year 2021, Volume: 70 Issue: 1, 229 - 240, 30.06.2021

Georgia İ. Oros

https://doi.org/10.31801/cfsuasmas.784080

Cited By: 19

Abstract

In this paper, some new fuzzy differential subordinations obtained by using the integral operator I^m γ : A_n →A_n  introduced in [13] are obtained.

Keywords

analytic function , univalent function , fuzzy function , fuzzy differential subordination , dominant , best dominant

References

• Alb Lupa¸s, A., A note on special fuzzy differential subordinations using multiplier transformation and Ruschewehy derivative, J. Computational Analysis and Applications, 25 (6) (2018), 1116-1124.
• Alb Lupa¸s, A., Oros, Gh., On special fuzzy differential subordinations using Salagean and Ruscheweyh operators, Applied Mathematics and Computation, 261 (2015), 119-127.
• Haydar, E. A., On fuzzy differential subordination, Mathematica Moravica,19 (1) (2015), 123-129.
• Ibrahim, R. W., On the Subordination and Super-Ordination Concepts with Applications, Journal of Computational and Theoretical Nanoscience, 14 (5) (2017), 2248-2254.
• Gal, S. G., Ban, A. I., Elements of Fuzzy Mathematics, Editura Universitatii din Oradea, 1996. (in Romanian)
• Miller, S. S., Mocanu, P. T., Second order differential inequalities in the complex plane, J. Math. Anal. Appl., 65 (1978), 298-305.
• Miller, S. S., Mocanu, P. T., Differential subordinations and univalent functions, Michigan Math. J., 28 (1981), 157-171.
• Miller, S. S., Mocanu, P. T., Differential Subordinations. Theory and Applications, Marcel Dekker, Inc., New York, Basel, 2000.
• Oros, G. I., Oros, Gh., The notion of subordination in fuzzy sets theory, General Mathematics, 19 (4) (2011), 97-103.
• Oros, G. I., Oros, Gh., Fuzzy differential subordination, Acta Universitatis Apulensis, 3 (2012), 55-64.
• Oros, G. I., Oros, Gh., Dominants and best dominants in fuzzy differential subordinations, Stud. Univ. Babes-Bolyai Math., 57 (2) (2012), 239-248.
• Oros G.I., Briot-Bouquet fuzzy differential subordination, Analele Universitatii Oradea, Fasc. Mathematica, 19 (2) (2012), 83-97.
• Oros, G. I., Oros, Gh., Diaconu R., Differential subordinations obtained with some new integral operators, J. Computational Analysis and Applications, 19 (5) (2015), 904-910.
• Pommerenke Ch., Univalent Functions, Vanderhoeck and Ruprecht, Gottingen, 1975.
• Wanas, A. K., Majeed, A. H., Fuzzy differential subordination properties of analytic functions involving generalized differential operator, Sci.Int.(Lahore), 30 (2) (2018), 297-302.