  In this paper, we study some new properties of Sadik transform such as
integration, time delay, initial value theorem, and final value theorem.
Moreover, we prove the theorem of Sadik transform for Caputo fractional
derivative and we also establish sufficient conditions for the existence of the
Sadik transform of Caputo fractional derivatives. At the end, the
fractional-order dynamical systems in control theory as an application of this
transform is discussed, in addition, some numerical examples to justify our
results.
