Mathematics (with extensive international collaboration and a strong publication record in high-impact journals)

Professor Dr. Pshtiwan Othman Mohammed serves in the Department of Mathematics at the College of Education, University of Sulaimani, Iraq, and is an Associate Member of the Section of Mathematics at the International Telematic University Uninettuno, Italy. A prolific researcher, he has published more than 200 papers in high-ranked international journals. His work is characterized by extensive collaboration with renowned mathematicians from around the world, contributing significantly to the advancement of the field. Reference: Variational Analysis of Multiple Positive Solutions for Fractional Difference Laplacian Problems In this work, the existence of multiple positive solutions for a class of fractional difference problems (FDPs) involving the singular $\phi-$Laplacian operator is established. This represents the discrete analogue of the one-dimensional prescribed curvature equation. The main results of our study are twofold: first, a three critical points theorem is applied to guarantee the existence of at least three distinct nonnegative solutions based on the behavior of the nonlinear term at specific finite energy levels. Second, a truncation technique and Ricceri's variational principle are utilized to establish the existence of nontrivial solutions that are independent of the nonlinear term's asymptotic behavior at infinity. Our theoretical findings are illustrated by specific numerical examples to validate and ensure that the obtained solutions strictly satisfy the domain constraints of the original singular operator.