Subordination and Superordination for Certain Analytic Functions Containing Fractional Integral
نویسندگان
چکیده
The purpose of the present article is to derive some subordination and superordina-tion results for certain normalized analytic functions involving fractional integral operator. More-over, this result is applied to find a relation between univalent solutions for fractional differentialequation.Full textAcknowledgement. The work presented here was supported by eScienceFund04-01-02-SF0425, MOSTI, Malaysia. References[1] K. Balachandar and J. P. Dauer, Elements of Control Theory, Narosa PublishingHouse, 1999.[2] T. Bulboaca, Classes of first-order differential superordinations, Demonstr.Math.35 (2) (2002), 287-292. MR1907301(2003m:30054). Zbl 1010.30020.[3] Nak Eun Cho, Oh Sang Kwon, S. Owa and H. M. Srivastava, A classof integral operators preserving subordination and superordination for mero-morphic functions, Appl. Math. and Compu. 193 (1) (2007), 463-474.MR2385804(2009a:30054).[4] R. F. Curtain and A. J. Pritchard, Functional Analysis in Modern Applied Math-ematics, Academic Press. 1977. MR0479787(58 #2). Zbl 0448.46002.[5] R. W. Ibrahim and M. Darus, Subordination and superordination for univalentsolutions for fractional differential equations, J. Math. Anal. Appl., vol. 345, no.2, (2008), 871-879. MR2429186. Zbl 1147.30009. 2000 Mathematics Subject Classification: 34G10; 26A33; 30C45.
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