About the Authors

Anum Tanveer

anum@math.qau.edu.pk

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

T. 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, Jeddah 21589, Saudi Arabia

A. Alsaedi

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

B. Ahmad

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

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

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