About the Authors

Hafsa Athar Jafree

hajafree@uok.edu.pk

Affiliation Department of Mathematical Sciences, University of Karachi, Karachi, Pakistan

Muhammad Imtiaz

Affiliation Department of Mathematical Sciences, University of Karachi, Karachi, Pakistan

Syed Inayatullah

Affiliation Department of Mathematical Sciences, University of Karachi, Karachi, Pakistan

Fozia Hanif Khan

Affiliation Department of Mathematics, Sir Syed University of Engineering and Technology, Karachi, Pakistan

Tajuddin Nizami

Affiliation Department of Mathematics, Iqra University, Karachi, Pakistan

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: SI. Performed the experiments: FHK TN. Wrote the paper: HAJ. Model formulation: HAJ. Algorithm designing: HAJ MI SI.