Third-order differential subordination and superordination involving a fractional operator

Rabha W. Ibrahim ; Muhammad Zaini Ahmad ; Hiba F. Al-Janaby

Open Mathematics, Tome 13 (2015), / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Détail

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:275994

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