The Normalized Prabhakar Fractional Operator’s Boundedness Across Various Spaces

Rabha W. Ibrahim

International Journal of Mathematics and Mathematical Sciences, 2026, vol. 2026, 1-28

Abstract: A functional space called the Bloch space is made up of analytic functions on the unit disk in the complex plane. These functions provide a number of benefits and intriguing characteristics, as well as meeting specific growth requirements. In this notice, the boundedness of certain fractional integral operator in a class of Bloch spaces is investigated. The integral is given in the sense of the Prabhakar fractional operators. We will show that the modification of this operator is converged by some types of special functions. Also, we define a new shifted special function where the integral operator is bounded. A set of fractional integral inequalities is presented. The partial sums are selected as applications of the proposed operator to indicate the upper bounds for the formula of the polar derivative.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:9742190

DOI: 10.1155/ijmm/9742190

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