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Fractals as Julia sets of a exp[dsin(zn)]–bz + c via Jungck four-step iterative method with s-convexity as well as four-step iterative method.

Authors :
Ahmad, Iqbal
Sajid, Mohammad
Ahmad, Rais
Source :
Results in Nonlinear Analysis; 2024, Vol. 7 Issue 3, p1-18, 18p
Publication Year :
2024

Abstract

In this manuscript, we explore some new stunning fractals of Julia sets by developing the escape criteria for novel type of complex function p(z) = a exp[d sin(z<superscript>n</superscript>)] bz + c, where n,|d|≥ 2 and a,b,c,d Ⲉ C and furnish some graphical illustrations of the generated amazing fractals, utilizing the Jungck fourstep iteration scheme equipped with s-convexity as well as four-step iterative method. Moreover, we conclude this work by examining variation in images and the impact of parameters on the deviation of dynamics, color, and appearance of fractals. At some fixed input parameters, we observe the engrossing behavior of Julia sets for different n via the considered algorithms. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
26367556
Volume :
7
Issue :
3
Database :
Complementary Index
Journal :
Results in Nonlinear Analysis
Publication Type :
Academic Journal
Accession number :
179266171
Full Text :
https://doi.org/10.31838/rna/2024.07.03.002