In this paper, using the identity proved in for fractional inte-grals, some new Ostrowski type inequalities for Riemann-Liouville fractional integrals of functions of two variables are established. The established results in this paper generalize those results proved in .
In this work, we study chaos control and synchronization of the commensurate fractional order Liu system. Based on the stability theory of fractional order systems, the conditions of local stability of nonlinear three-dimensional commensurate fractional order systems are discussed. The existence and uniqueness of solutions for a class of commensurate… (More)
Synchronization in chaotic systems has particular interest in the past few years; it has many applications, Fujisaka and Yamada noticed that 'by coupling together oscillators which on their own evolved chaotically, it was possible under certain circumstances to force them to evolve in an identical fashion,' ABSTRACT In this chapter, the author introduces… (More)
In this work, we investigate the dynamical behaviors of the modi-…ed autonomous Van der Pol-Du¢ ng chaotic circuit (MADVP). Some stability conditions of the equilibrium points are discussed. The existence of pitchfork bifurcation is veri…ed by using the bifurcation theory and the center manifold theorem. The occurrences of Hopf bifurcation about the… (More)