About the Authors

Adil Jhangeer

Contributed equally to this work with: Adil Jhangeer, Farheen Ibraheem, Tahira Jamal

Roles Conceptualization, Investigation, Methodology, Supervision

adil.jhangeer@vsb.cz

Affiliations IT4Innovations, VSB - Technical University of Ostrava, Poruba, Ostrava, Czech Republic, Department of Mathematics, Namal University, Mianwali, Pakistan

Farheen Ibraheem

Contributed equally to this work with: Adil Jhangeer, Farheen Ibraheem, Tahira Jamal

Roles Formal analysis, Resources, Software

Affiliation Department of Mathematics, Forman Christian College-A Chartered University-FCCU, Lahore, Pakistan

Tahira Jamal

Contributed equally to this work with: Adil Jhangeer, Farheen Ibraheem, Tahira Jamal

Roles Investigation, Writing – original draft

Affiliation Department of Mathematics, University of the Punjab, Lahore, Pakistan

Muhammad Bilal Riaz

Roles Funding acquisition, Methodology, Writing – review & editing

‡ MBR and AAK also contributed equally to this work.

Affiliations Department of Mathematics, Namal University, Mianwali, Pakistan, Department of Computer Science and Mathematics, Lebanese American University, Byblos, Lebanon

Atef Abdel Kader

Roles Formal analysis, Validation, Visualization

‡ MBR and AAK also contributed equally to this work.

Affiliation College of Humanities and Sciences, Ajman University, Ajman, UAE

Competing Interests

The authors have declared that no competing interests exist.