Global existence theory and chaos control of fractional differential equations

• Published in: Journal of mathematical analysis and applications Vol. 332; no. 1; pp. 709 - 726
• Main Author: Lin, Wei
• Format: Journal Article
• Language: English
• Published: San Diego, CA Elsevier Inc 01.08.2007; Elsevier
• Subjects: Calculus of variations and optimal control; Carathéodory condition; Chaos control; Exact sciences and technology; Fractional differential equation; Mathematical analysis; Mathematics; Numerical analysis; Numerical analysis. Scientific computation; Ordinary differential equations; Partial differential equations; Partial differential equations, initial value problems and time-dependant initial-boundary value problems; Sciences and techniques of general use; Fractional differential equation; Chaos control; Carathéodory condition; Chaos; Mathematical analysis; Differential equation; Existence theory; Initial value problem; Control theory; Application

In this paper, the initial value problem for a class of fractional differential equations is discussed, which generalizes the existent result to a wide class of fractional differential equations. Also the theoretical result established in the paper ensures the validity of chaos control of fractional...