Generalized Hamilton's Principle with Fractional Derivatives

Abstract

We generalize Hamilton's principle with fractional derivatives in Lagrangian $L(t,y(t),{}_0D_t^\al y(t),α)$ so that the function $y$ and the order of fractional derivative $\alpha$ are varied in the minimization procedure. We derive stationarity conditions and discuss them through several examples.

References in corpus (2)

• Variational Problems with Fractional Derivatives: Euler-Lagrange Equations
• Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem

Cited by in corpus (1)

• Numerical Approximations of Fractional Derivatives with Applications