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Some Applications of Analytic Functions Associated with q-Fractional Operator
Journal article   Peer reviewed

Some Applications of Analytic Functions Associated with q-Fractional Operator

Nazar Khan, Shahid Khan, Qin Xin, Fairouz Tchier, Sarfraz Nawaz Malik and Umer Javed
Mathematics (Basel), Vol.11(4), p.930
01/02/2023
DOI: https://doi.org/10.3390/math11040930

Abstract

Mathematics Physical Sciences Science & Technology
This paper introduces a new fractional operator by using the concepts of fractional q-calculus and q-Mittag-Leffler functions. With this fractional operator, Janowski functions are generalized and studied regarding their certain geometric characteristics. It also establishes the solution of the complex Briot-Bouquet differential equation by using the newly defined operator.

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