About the Authors

Maria Imtiaz

mi_qau@gmail.com

Affiliation Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad, 44000, Pakistan

Tasawar Hayat

Affiliations Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad, 44000, Pakistan, Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, 80203, Jeddah, 21589, Saudi Arabia

Ahmed Alsaedi

Affiliation Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, 80203, Jeddah, 21589, Saudi Arabia

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceptualization: MI TH AA. Data curation: MI TH AA. Formal analysis: MI TH AA. Investigation: MI TH AA. Methodology: MI TH AA. Project administration: MI TH AA. Resources: MI TH AA. Software: MI TH AA. Supervision: MI TH AA. Validation: MI TH AA. Visualization: MI TH AA. Writing – original draft: MI TH AA. Writing – review & editing: MI TH AA.