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Introduction to Fractional Calculus with Brief Historical Background
(WSEAS Press, 2014)
The Fractional Calculus (FC) is a generalization of classical calculus concerned with operations of
integration and differentiation of non-integer (fractional) order. The concept of fractional operators has been introduced ...
A Chattering-free Fractional PDalpha Sliding-mode Control of a 3-DOF Robot System Driven by DC motors
(China, Nanjing: Hohai University, 2012)
This paper proposes a robust fractional-order sliding mode control of a 3-DOF robot system
driven by DC motors. Primarily, a conventional sliding mode controller based on PDalpha sliding surface is designed. Numerical ...
Iterative Learning Control for Fractional Order Time Delay System – PDalpha Type
(China, Nanjing: Hohai University, 2012)
This paper addresses the problem of iterative learning control (ILC) for fractional (non)linear
time delay system. Particularly, we discuss fractional order time delay systems in state space form with uncertain bounded ...
Application of fractional calculus to the electroviscoelastic behaviour of liquid/liquid interfaces
(Prague: Czech society of chemical engineering, 2008)
Using fractional-order alpha (0,1) , capacitive and inductive elements one can obtain linear
and/or nonlinear fractional integral-differential equation of the van der Pol type, i.e. more
generalized mathematical formalism ...
Finite Time Partial Stability of Fractional Order Time Delay Systems
(China, Nanjing: Hohai University, 2012)
This paper proposes sufficient conditions for finite time stability for the (non)homogeneous
fractional order systems with time delay. Specially, the problem of finite time stability with respect to
some of the variables ...