Some Application of Fuzzy Third-Order Subordination and Superordination Associated with Zeta-Riemann Fractional Differential Operator

Ekram E. Ali; Rabha M. El-Ashwah; R. Sidaoui; Sahar K. Al-Askary; Miguel Vivas-Cortez

doi:10.37256/cm.7320269182

Some Application of Fuzzy Third-Order Subordination and Superordination Associated with Zeta-Riemann Fractional Differential Operator

Authors

Ekram E. Ali Department of Mathematics, College of Science, University of Ha'il, Ha'il 2440, Saudi Arabia https://orcid.org/0000-0002-5477-0065
Rabha M. El-Ashwah Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt https://orcid.org/0000-0002-5490-3745
R. Sidaoui Department of Mathematics, College of Science, University of Ha'il, Ha'il 2440, Saudi Arabia
Sahar K. Al-Askary Department of Mathematics, College of Science, University of Ha'il, Ha'il 2440, Saudi Arabia
Miguel Vivas-Cortez Faculty of Exact and Natural Sciences, School of Physical and Mathematical Sciences, Pontifical Catholic University of Ecuador, Quito 170143, Ecuador

DOI:

https://doi.org/10.37256/cm.7320269182

Keywords:

fuzzy set, third-order fuzzy differential subordination and superordination, fuzzy subordinant, best fuzzy subordinant, admissible functions, Zeta-Riemann fractional differential operator

Abstract

This work lays under the fuzzy third-order differential subordination. The development of the key ideas required to produce fresh findings on this subject marked the beginning of third-order fuzzy differential subordination research. The current work presents the twin idea of third-order fuzzy differential subordination. Investigating the best dominant for such fuzzy differential subordination when it is possible, and identifying best subordinant of a third-order fuzzy differential superordination are both made possible by the study's results.

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Published

2026-05-13

How to Cite

Ali EE, El-Ashwah RM, Sidaoui R, Al-Askary SK, Vivas-Cortez M. Some Application of Fuzzy Third-Order Subordination and Superordination Associated with Zeta-Riemann Fractional Differential Operator. Contemp. Math. [Internet]. 2026 May 13 [cited 2026 Nov. 14];7(3):3281-308. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/9182

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Issue

Contemporary Mathematics, Volume 7 Issue 3 (2026), 2702-4047

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.