About the Authors

Amsawrah M. Mohammed

Roles Validation, Visualization, Writing – review & editing

Affiliation Mathematics Department, School of Basic Sciences, Libyan Academy for Graduate Studies, Ajdabia, Libya

Eman Ghareeb Rezk

Roles Investigation, Resources, Software

Affiliation Mathematical Science Department, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia

A. H. El -Sharif

Roles Investigation, Resources, Software

Affiliation Department of Mathematics, Faculty of Science, Benghazi University, Benghazi, Libya

Alaa A. El-Bary

Roles Visualization, Writing – original draft, Writing – review & editing

Affiliation Arab Academy for Science, Technology and Maritime Transport, Alexandria, Egypt

Khaled Lotfy

Roles Conceptualization, Data curation, Formal analysis, Software, Supervision, Validation

khlotfy_1@yahoo.com

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

Competing Interests

The corresponding author states no conflict of interest exists.