About the Authors

Emrah Altun

Roles Conceptualization, Formal analysis, Investigation, Resources, Software, Supervision, Validation, Writing – original draft, Writing – review & editing

Affiliation Department of Mathematics, Bartin University, Bartin, Turkey

M. El-Morshedy

Roles Conceptualization, Formal analysis, Funding acquisition, Methodology, Supervision

m.elmorshedy@psau.edu.sa

Affiliations Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj, Saudi Arabia, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt

M. S. Eliwa

Roles Formal analysis, Investigation, Methodology, Validation, Writing – review & editing

Affiliation Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt

Competing Interests

The authors have declared that no competing interests exist.