About the Authors

Arshad Khan

Affiliation Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai, Malaysia

Ilyas Khan

Affiliation College of Engineering, Majmaah University, Majmaah, Saudi Arabia

Farhad Ali

Affiliation Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai, Malaysia

Sami ulhaq

Affiliation City University of Science and Information Technology, Peshawar, Pakistan

Sharidan Shafie

ridafie@yahoo.com

Affiliation Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai, Malaysia

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: IK. Performed the experiments: AK. Analyzed the data: Su. Contributed reagents/materials/analysis tools: SS. Wrote the paper: FA.