ABOUT LAGRANGIAN FORMULATION OF CLASSICAL FIELDS WITHIN RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES

摘要

Recently, an extension of the simplest fractional problem and the fractional variational problem of Lagrange was obtained by Agrawal. The first part of this study presents the fractional La-grangian formulation of mechanical systems and introduce the Levy path integral. The secondpart is an extension to Agrawal's approach to classical fields with fractional derivatives. The classical fields with fractional derivatives are investigated by using the Lagrangian formulation. The case of the fractional Schroedinger equation is presented.