About the Authors

Tanveer Sajid

Roles Conceptualization, Data curation, Formal analysis, Resources, Validation, Writing – original draft, Writing – review & editing

Affiliation Department of Mathematics, Capital University of Science and Technology (CUST), Islamabad, Pakistan

Wasim Jamshed

Roles Formal analysis, Investigation, Methodology, Resources, Software, Supervision, Validation, Visualization, Writing – original draft, Writing – review & editing

Affiliation Department of Mathematics, Capital University of Science and Technology (CUST), Islamabad, Pakistan

Faisal Shahzad

Roles Data curation, Formal analysis, Software, Visualization, Writing – original draft, Writing – review & editing

Affiliation Department of Mathematics, Capital University of Science and Technology (CUST), Islamabad, Pakistan

M. A. Aiyashi

Roles Funding acquisition, Visualization, Writing – review & editing

Affiliation Department of Mathematics, College of Science, Jazan University, Jazan, Saudi Arabia

Mohamed R. Eid

Roles Conceptualization, Data curation, Formal analysis, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing – original draft, Writing – review & editing

m_r_eid@yahoo.com

Affiliations Department of Mathematics, Faculty of Science, New Valley University, Al-Kharga, Al-Wadi Al-Gadid, Egypt, Department of Mathematics, Faculty of Science, Northern Border University, Arar, Saudi Arabia

Kottakkaran Sooppy Nisar

Roles Conceptualization, Data curation, Formal analysis, Funding acquisition, Resources, Software, Supervision, Validation, Writing – original draft

Affiliation Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser, Saudi Arabia

Anurag Shukla

Roles Funding acquisition, Visualization, Writing – review & editing

Affiliation Department of Applied Science, Rajkiya Engineering College Kannauj, Kannauj, India

Competing Interests

The authors have declared that no competing interests exist.