Fractional gradient system and generalized Birkhoff system

• Published in: Acta mechanica Vol. 235; no. 6; pp. 3607 - 3619
• Main Authors: Wang, Peng, Liu, Bai-qiang
• Format: Journal Article
• Language: English
• Published: Vienna Springer Vienna 01.06.2024
• Subjects: Classical and Continuum Physics; Control; Dynamical Systems; Engineering; Engineering Fluid Dynamics; Engineering Thermodynamics; Heat and Mass Transfer; Original Paper; Solid Mechanics; Theoretical and Applied Mechanics; Vibration

New fractional gradient representation of generalized Birkhoff system is studied. New definition of fractional gradient system for generalized Birkhoff system is given. New condition for generalized Birkhoff system transforms into arbitrary fractional-order (integer or non-integer) gradient system i...