Fractional Calculus
Application Context: Programmable fractional calculus and fractional-order differential equations (also known as extraordinary differential equations) represent a generalization of ordinary differential equations through fractional calculus. Fractional-Order Control (FOC) is an emerging field in control theory that utilizes fractional-order integrators as part of the control system design toolkit. Key Technologies: Control system toolboxes now incorporate fractional calculus for modeling real-world dynamic systems with non-integer order dynamics, enabling more accurate representation of complex systems compared to traditional integer-order calculus. Fractional calculus concepts hold transformative potential for redefining modeling and control methodologies.