About the Authors

Sana Iqbal

Roles Investigation, Writing – original draft

Affiliation Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan

Naveed Shahid

Roles Formal analysis, Investigation

Affiliation Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan

Ali Raza

Roles Conceptualization, Data curation, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing – original draft, Writing – review & editing

ali.raza@vsb.cz (AR)

Affiliations Department of Mathematics, Center for Research and Development in Mathematics and Application (CIDMA), University of Aveiro, Aveiro, Portugal, IT4Innovations, VSB-Technical University of Ostrava, Ostrava, Czech Republic

Marek Lampart

Roles Data curation, Methodology, Project administration, Supervision

Affiliations IT4Innovations, VSB-Technical University of Ostrava, Ostrava, Czech Republic, Department of Applied Mathematics, VSB Technical University of Ostrava, Ostrava, Czech Republic

Nauman Ahmed

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

Affiliations Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan, Jadara Research Center, Jadara University, Jordan

Dumitru Baleanu

Roles Methodology, Supervision, Validation

Affiliation Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

Hala H. Taha

Roles Funding acquisition, Visualization

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

Competing Interests

The authors have declared that no competing interests exist.