About the Authors

M. El-Morshedy

Roles Data curation, Formal analysis, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization

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

Adel A. El-Faheem

Roles Formal analysis, Funding acquisition, Methodology, Validation, Writing – original draft

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

M. El-Dawoody

Roles Conceptualization, Project administration, Resources, Software, Supervision, Visualization, Writing – review & editing

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, Aswan University, Aswan, Egypt

Competing Interests

The authors have declared that no competing interests exist.