About the Authors

Rabah Debbar

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

Affiliation University of 8 May 1945 Guelma, Guelma, Algeria

Hamid Boulares

Roles Conceptualization, Formal analysis, Writing – original draft, Writing – review & editing

Affiliation Laboratory of Analysis and Control of Differential Equations “ACED”, Department of Mathematics, Faculty MISM, University of 8 May 1945 Guelma, Guelma, Algeria

Abdelkader Moumen

Roles Conceptualization, Project administration, Supervision, Writing – original draft, Writing – review & editing

mo.abdelkader@uoh.edu.sa

Affiliation Department of Mathematics, College of Science, University of Ha’il, Ha’il, Saudi Arabia

Tariq Alraqad

Roles Writing – original draft, Writing – review & editing

Affiliation Department of Mathematics, College of Science, University of Ha’il, Ha’il, Saudi Arabia

Hicham Saber

Roles Writing – original draft, Writing – review & editing

Affiliation Department of Mathematics, College of Science, University of Ha’il, Ha’il, Saudi Arabia

Competing Interests

The authors have declared that no competing interests exist.