Subclasses of spiral-like functions associated with the modified Caputo's derivative operator-Reference-Cited by-同舟云学术

Subclasses of spiral-like functions associated with the modified Caputo's derivative operator

Published:2023 Issue:8 Volume:8 Page:18474-18490
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Salah Jamal¹,Rehman Hameed Ur²,Al Buwaiqi Iman¹,Al Azab Ahmad¹,Al Hashmi Maryam¹

Affiliation:

1. Department of Basic Science, College of Health and Applied Sciences, A'Sharqiyah University, Ibra Oman

2. Center for Language and Foundation Studies, A'Sharqiyah University, Ibra Oman

Abstract

<abstract> <p>In this paper, the authors apply the modified Caputo's derivative operator, to introduce two new subclasses of spiral-like functions, namely the spiral-starlike functions and spiral-convex functions. In addition to this we, elaborate on the inclusion properties of these subclasses by considering the generalization of the Mittag-Leffler function and its integral transformation. Consequently, we obtain the subordination result for the functions in the class of spiral-like functions.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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