Applications of Subordination Chains and Fractional Integral in Fuzzy Differential Subordinations

Georgia Irina Oros and Simona Dzitac
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Georgia Irina Oros: Department of Mathematics and Computer Science, Faculty of Informatics and Sciences, University of Oradea, 410087 Oradea, Romania
Simona Dzitac: Department of Energy Engineering, Faculty of Energy Engineering and Industrial Management, University of Oradea, Universitatii 1, 410087 Oradea, Romania

Mathematics, 2022, vol. 10, issue 10, 1-18

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.

Keywords: fuzzy set; fuzzy differential subordination; fuzzy dominant; fractional integral; Gaussian hypergeometric function; subordination chain (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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