Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 4 (2009), 111 -- 117

SUBORDINATION AND SUPERORDINATION FOR CERTAIN ANALYTIC FUNCTIONS CONTAINING FRACTIONAL INTEGRAL

Rabha W. Ibrahim, Maslina Darus and Shaher Momani

Abstract. The purpose of the present article is to derive some subordination and superordination results for certain normalized analytic functions involving fractional integral operator. Moreover, this result is applied to find a relation between univalent solutions for fractional differential equation.

2000 Mathematics Subject Classification: 34G10; 26A33; 30C45.
Keywords: Fractional calculus; Univalent solution; Subordination; Superordination.

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Rabha W. Ibrahim, Maslina Darus Shaher Momani
School of Mathematical Sciences, Department of Mathematics,
Faculty of Science and Technology, Mutah. University,
Universiti Kebangsaan Malaysia, P.O. Box 7,
Bangi 43600, Selangor Darul Ehsan, Al-Karak,
Malaysia. Jordan.
e-mail:rabhaibrahim@yahoo.com e-mail:shahermm@yahoo.com
e-mail:maslina@ukm.my


http://www.utgjiu.ro/math/sma