About the Authors

T. Hayat

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

Tariq Hussain

Affiliation Department of Mathematics, Faculty of Computing, Mohammad Ali Jinnah University, Islamabad Campus, Islamabad, Pakistan

S. A. Shehzad

s.a.shehzad@hotmail.com

Affiliation Department of Mathematics, Comsats Institute of Information Technology, Sahiwal, Pakistan

A. Alsaedi

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

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: T. Hayat T. Hussain SAS AA. Performed the experiments: T. Hayat T. Hussain SAS AA. Analyzed the data: T. Hayat T. Hussain SAS AA. Contributed reagents/materials/analysis tools: T. Hayat T. Hussain SAS AA. Wrote the paper: T. Hayat T. Hussain SAS AA.