Univalence of some integral operators involving Rabotnov fractional exponential function

Basem A. Frasin<sup>ab

a</sup> Faculty of Science, Department of Mathematics, Al al-Bayt University, Mafraq, Jordan
^b Jadara Research Center, Jadara University, Irbid 21110, Jordan.

Abstract: In this paper, we introduce three new integral operators involving normalized Rabotnov fractional exponential functions $\mathbb{R}_{\alpha,\beta}(z)$. Furthermore, we shall find sufficient conditions for these integral operators. Finally, some special cases are deduced for different values of $\alpha$ and $\beta$.

Keywords: analytic functions, integral operators, Rabotnov function.

UDC: 517.5

Received: 12.06.2024
Received in revised form: 15.07.2024
Accepted: 24.09.2024

Language: English