About the Authors

M. S. Eliwa

Roles Conceptualization, Methodology, Writing – original draft

mseliwa@mans.edu.eg

Affiliations Department of Mathematics, College of Science, Majmaah University, Majmaah, Saudi Arabia, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt

Emrah Altun

Roles Software, Writing – review & editing

Affiliation Department of Mathematics, Bartin University, Bartin, Turkey

Ziyad Ali Alhussain

Roles Investigation, Resources

Affiliation Department of Mathematics, College of Science, Majmaah University, Majmaah, Saudi Arabia

Essam A. Ahmed

Roles Formal analysis, Software, Validation

Affiliations Department of Administrative and Financial Sciences, Taibah University, Community College of Khyber, Medina, Saudi Arabia, Department of Mathematics, Sohag University, Sohag, Egypt

Mukhtar M. Salah

Roles Project administration, Software

Affiliation Department of Mathematics, College of Science, Majmaah University, Majmaah, Saudi Arabia

Hanan Haj Ahmed

Roles Data curation, Formal analysis

Affiliation Department of Basic Science, Preparatory Year Deanship, King Faisal University, Hofuf, Al-Ahsa, Saudi Arabia

M. El-Morshedy

Roles Methodology, Software, Writing – original draft

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

Competing Interests

The authors have declared that no competing interests exist.