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International Journal of Analysis
Volume 2013 (2013), Article ID 542828, 7 pages
Research Article

Bounded Nonlinear Functional Derived by the Generalized Srivastava-Owa Fractional Differential Operator

Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur, Malaysia

Received 25 November 2012; Revised 6 January 2013; Accepted 6 January 2013

Academic Editor: Alain Miranville

Copyright © 2013 Rabha W. Ibrahim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


By making use of the generalized Srivastava-Owa fractional differential operator, a class of analytical functions is imposed. The sharp bound for the nonlinear functional associated with the Hankel determinant is computed. We consider a new technique to prove our results. Important properties such as inclusion, subordination, and Hadamard product are studied. Some recent results are included.