About the Authors

Siva Sankari

Roles Writing – original draft

Affiliation Department of Mathematics, Saveetha School of Engineering, SIMATS, Chennai, Tamil Nadu, India

M. Eswara Rao

Roles Investigation

mannerieswar99@gmail.com (MER); wariskhan758@yahoo.com (WH)

Affiliation Department of Mathematics, Saveetha School of Engineering, SIMATS, Chennai, Tamil Nadu, India

Awatif M.A. Elsiddieg

Roles Data curation, Formal analysis, Writing – review & editing

Affiliation Department of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz University, P.O. Box 710, Al-Kharj 11942, Saudi Arabia

Waris Khan

Roles Software

mannerieswar99@gmail.com (MER); wariskhan758@yahoo.com (WH)

Affiliation Department of Mathematics and Statistics, Hazara University, Mansehra 21120, Khyber Pakhtunkhwa, Pakistan

O. D. Makinde

Roles Methodology, Supervision

Affiliation Faculty of Military Science, Stellenbosch University, Saldanha, South Africa

Taoufik Saidani

Roles Conceptualization, Data curation, Resources

Affiliation Center for Scientific Research and Entrepreneurship, Northern Border University, Arar, Saudi Arabia

Naoufel Kraiem

Roles Data curation, Funding acquisition, Project administration, Resources

Affiliation College of Computer Science, King Khalid University, Abha, Saudi Arabia

Hakim AL Garalleh

Roles Formal analysis, Resources, Validation, Visualization, Writing – review & editing

Affiliation Department of Mathematical Science, College of Engineering, University of Business and Technology, Jeddah 21361, Saudi Arabia

Competing Interests

Authors declare that there is no conflict of interest regarding the publication of this article.