FRACTIONAL ACTIONLIKE VARIATIONAL APPROACH WITH NON-STANDARDLAGRANGIANS HOLDING SINGULAR WEINSTEIN AND EXTENDED EULER-POISSONHIGHER-ORDER DERIVATIVES OPERATORS

摘要

Nonlinear fractional dynamics from fractional actionlike variational approach which is characterized by non-standard Lagrangians holding singular Weinstein and higher-order extended Euler-Poisson derivative operators are presented in this work. Many interesting results that can enrich the theory of analytical mechanics and quantum mechanics are obtained and discussed.