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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access October 23, 2015

Third-order differential subordination and superordination involving a fractional operator

  • Rabha W. Ibrahim , Muhammad Zaini Ahmad and Hiba F. Al-Janaby
From the journal Open Mathematics


The third-order differential subordination and the corresponding differential superordination problems for a new linear operator convoluted the fractional integral operator with the Carlson-Shaffer operator, are investigated in this study. The new operator satisfies the required first-order differential recurrence (identity) relation. This property employs the subordination and superordination methodology. Some classes of admissible functions are determined, and these significant classes are exploited to obtain fractional differential subordination and superordination results. The new third-order differential sandwich-type outcomes are investigated in subsequent research.


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Received: 2015-5-8
Accepted: 2015-9-9
Published Online: 2015-10-23

©2015 Rabha W. Ibrahim et al.

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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