Fixed Point Theorems: Exploring Applications in Fractional Differential Equations for Economic Growth.

The aim of this research is to introduce two new notions, Θ -(Ξ ,h)-contraction and rational (α , η) - ψ -interpolative contraction, in the setting of F -metric space and to establish corresponding fixed point theorems. To reinforce understanding and highlight the novelty of our findings, we provide a non-trivial example that not only supports the obtained results but also illuminates the established theory. Finally, we apply our main result to discuss the existence and uniqueness of solutions for a fractional differential equation describing an economic growth model. [ABSTRACT FROM AUTHOR]