Abstract: This paper studies the morphology and evolutionary growth of the Nautilus pompilius based on the fractional R1-trigonometry. Morphological models based on the fractional trigonometry are shown to ...

Abstract: It has been known that the initialization of fractional operators requires time-varying functions, a complicating factor. This paper simplifies the process of initialization of fractional differential ...

Abstract: This paper reviews some properties of the gamma function, particularly the incomplete gamma function and its complement, as a function of the Laplace variable s. The utility of these functions ...

Abstract: A major goal in the control of complex mechanical systems such as advanced aircraft, spacecraft, and power plants is to achieve high performance with increased reliability, availability, component ...

Abstract: The objective of damage-mitigating control introduced in the first part of this two-part paper is to achieve high performance without overstraining the mechanical structures. The major benefit ...