Applications of Subordination Chains and Fractional Integral in Fuzzy Differential Subordinations
Fuzzy differential subordination theory represents a generalization of the classical concept of differential subordination which emerged in the recent years as a result of embedding the concept of fuzzy set into geometric function theory. The fractional integral of Gaussian hypergeometric function i...
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| Veröffentlicht in: | Mathematics (Basel) Jg. 10; H. 10; S. 1690 |
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| Abstract | Fuzzy differential subordination theory represents a generalization of the classical concept of differential subordination which emerged in the recent years as a result of embedding the concept of fuzzy set into geometric function theory. The fractional integral of Gaussian hypergeometric function is defined in this paper and using properties of the subordination chains, new fuzzy differential subordinations are obtained. Dominants of the fuzzy differential subordinations are given and using particular functions as such dominants, interesting geometric properties interpreted as inclusion relations of certain subsets of the complex plane are presented in the corollaries of the original theorems stated. An example is constructed as an application of the newly proved results. |
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| AbstractList | Fuzzy differential subordination theory represents a generalization of the classical concept of differential subordination which emerged in the recent years as a result of embedding the concept of fuzzy set into geometric function theory. The fractional integral of Gaussian hypergeometric function is defined in this paper and using properties of the subordination chains, new fuzzy differential subordinations are obtained. Dominants of the fuzzy differential subordinations are given and using particular functions as such dominants, interesting geometric properties interpreted as inclusion relations of certain subsets of the complex plane are presented in the corollaries of the original theorems stated. An example is constructed as an application of the newly proved results. |
| Author | Dzitac, Simona Oros, Georgia Irina |
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| Cites_doi | 10.3390/sym13050904 10.3934/math.2021759 10.3390/math9141701 10.3390/math9111252 10.21136/MB.2020.0159-19 10.15837/ijccc.2021.6.4587 10.15837/ijccc.2017.4.2962 10.4153/CJM-1987-054-3 10.15837/ijccc.2017.6.3111 10.29304/jqcm.2020.12.3.708 10.3390/math9202601 10.1007/s13324-020-00372-5 10.1016/S0019-9958(65)90241-X 10.1007/BF02392821 10.1201/9781482289817 10.1307/mmj/1029002507 10.1090/S0002-9939-1990-1017006-8 10.3390/sym13111992 10.15837/ijccc.2020.1.3812 10.3390/sym13061023 10.3390/sym13101929 10.1016/0022-247X(78)90181-6 |
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| SubjectTerms | Chains Convex analysis Fractional calculus fractional integral fuzzy differential subordination fuzzy dominant fuzzy set Fuzzy sets Gaussian hypergeometric function Hypergeometric functions subordination chain |
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