About the Authors

Waqar A. Khan

wkhan_2000@yahoo.com

Affiliation Department of Engineering Sciences, Pakistan Navy Engineering College, National University of Science and Technology, Karachi, Pakistan

Md Jashim Uddin

Affiliations School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia, Department of Mathematics, American International University-Bangladesh, Banani, Dhaka, Bangladesh

A. I. Md. Ismail

Affiliation School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Results: WAK. Formulation: MJU. Abstract, conclusions: AII. Wrote the paper: WAK MJU AII.