Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag–Leffler stability

Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers

Igor Podlubný · IEEE Transactions on Automatic Control · 1999 · 3.1K citations

Natural Sciences, Systems Engineering, Differential Equations +16

Advances in Fractional Calculus : Theoretical Developments and Applications in Physics and Engineering

Jocelyn Sabatier · HAL (Le Centre pour la Communication Scientifique Directe) · 2007 · 1.1K citations

Natural Sciences, Mathematics, Physics +8

Completely monotonic functions

Kenneth S. Miller, Stefan Samko · Integral Transforms and Special Functions · 2001 · 326 citations

Natural Sciences, Mathematics, Derivatives +8

Analytical Stability Bound for a Class of Delayed Fractional-Order Dynamic Systems

YangQuan Chen, Kevin L. Moore · Nonlinear Dynamics · 2002 · 206 citations

Natural Sciences, Mathematics, Differential Equations +13

UBIQUITOUS FRACTIONAL ORDER CONTROLS?

YangQuan Chen · IFAC Proceedings Volumes · 2006 · 176 citations

Engineering, Mathematics, Dynamical Systems +7