Dr. Hameed's research interests lie in the areas of coefficient problems, the fractional operator in fractional calculus, and its applications. He studies analytic functions, visualization, and graphical analysis of complex functions. During his research (2017–2021), he introduced several subclasses of analytic functions with their graphical illustration and developed a couple of fractional operators. The innovative contribution of his research work emerged in 2018 when he put up the idea of an economic model by applying a modified Caputo’s differential operator for suppressing past memory. In his thesis, for the first time, he presented two new theorems on the generalization of certain analytic function that collaborates with Faber polynomial functions to calculate the n-th coefficient bound for a certain generalized class of Bi-univalent functions. His further special contribution includes the study of a new fractional Integral operator associated with the GK-Mittag-Leffler function and a new differential operator associated with the Miller-Rose sequential differential fractional operator. As a collaborative researcher, he worked on the non-trivial zeros of the Riemann Zeta Function and discussed the graphical behaviour of the Riemann Zeta function. In his recent work, he introduced a new subclass of bi-close-to-convex function focusing on finding the maximum upper bound of this class of complex order. In his latest research article, he and his collaborators introduced a new subclass of bi-close-to-convex function. Using this class they estimated the second Hankel determinant of this class.

He has published research articles in reputed international Journals of mathematics and mechanics, geometry and Its Applications, the Journal of Balkan Society of Geometers, the Journal of Applied Mathematics, the Journal of Mathematics and the Journal of Mathematics and Statistics. During the session 2022-23, he published five papers targeting the applications of fractional calculus in advanced complex analysis. This includes Scopus and Web of Science journals such as the Journal of Mathematics and Statistics, the Journal of Neuro-Quantology and the American Institute of Mathematical Sciences. His recent article has been published in the Malaysian Journal of Mathematics.