Fractal Dimension of α-Fractal Functions Without Endpoint Conditions

In this article, we manifest the existence of a new class of alpha-fractal functions without endpoint conditions in the space of continuous functions. Furthermore, we add the existence of the same class in numerous spaces such as the Holder space, the convex Lipschitz space, and the oscillation space. We also estimate the fractal dimensions of the graphs of the newly constructed alpha-fractal functions adopting some function spaces and covering methods.