{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,23]],"date-time":"2026-06-23T14:11:06Z","timestamp":1782223866240,"version":"3.54.5"},"reference-count":16,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2021,2,17]],"date-time":"2021-02-17T00:00:00Z","timestamp":1613520000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Both the theory of differential subordination and its dual, the theory of differential superordination, introduced by Professors Miller and Mocanu are based on reinterpreting certain inequalities for real-valued functions for the case of complex-valued functions. Studying subordination and superordination properties using different types of operators is a technique that is still widely used, some studies resulting in sandwich-type theorems as is the case in the present paper. The fractional integral of confluent hypergeometric function is introduced in the paper and certain subordination and superordination results are stated in theorems and corollaries, the study being completed by the statement of a sandwich-type theorem connecting the results obtained by using the two theories.<\/jats:p>","DOI":"10.3390\/sym13020327","type":"journal-article","created":{"date-parts":[[2021,2,16]],"date-time":"2021-02-16T22:13:38Z","timestamp":1613513618000},"page":"327","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":40,"title":["Differential Subordination and Superordination Results Using Fractional Integral of Confluent Hypergeometric Function"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2855-7535","authenticated-orcid":false,"given":"Alina Alb","family":"Lupa\u015f","sequence":"first","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2902-4455","authenticated-orcid":false,"given":"Georgia Irina","family":"Oros","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2021,2,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1016\/0022-247X(78)90181-6","article-title":"Second order differential inequalities in the complex plane","volume":"65","author":"Miller","year":"1978","journal-title":"J. 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(2020). Inequalities for Analytic Functions Defined by a Fractional Integral Operator. Frontiers in Functional Equations and Analytic Inequalities, Springer.","DOI":"10.1007\/978-3-030-28950-8"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Srivastava, H.M., Bansal, M., and Harjule, P. (2018). A study of fractional integral operators involving a certain generalized multi-index Mittag-Leffler function. Math. Meth. Appl. Sci., 1\u201314.","DOI":"10.1002\/mma.5122"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1007\/s40010-016-0316-7","article-title":"Integral Inequalities Associated with Gauss Hypergeometric Function Fractional Integral Operators","volume":"88","author":"Saxena","year":"2018","journal-title":"Proc. Natl. Acad. Sci. India Sect. A Phys. Sci."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Cho, N.E., Aouf, M.K., and Srivastava, R. (2019). 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