About the Authors

Habib ur Rehman

Roles Investigation, Software, Writing – review & editing

‡ All authors agree with the final version.

Affiliation School of Mathematics, Yunnan Normal University, Kunming, China

Hasanen A. Hammad

Roles Conceptualization, Methodology, Writing – original draft, Writing – review & editing

h.abdelwareth@qu.edu.sa

‡ All authors agree with the final version.

Affiliations Department of Mathematics, College of Sciences, Qassim University, Buraydah, Saudi Arabia, Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt

Manal Elzain Mohamed Abdalla

Roles Formal analysis, Funding acquisition, Writing – review & editing

‡ All authors agree with the final version.

Affiliation Department of Mathematics, Faculty of Science, King Khalid University‌‌, Abha, Saudi Arabia

Competing Interests

The authors have declared that no competing interests exist.