Affiliation of Author(s):
理学院
Journal:
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
Key Words:
Semi-inverse method, variational theory, fractal calculus, fractional calculus
Abstract:
A generalized KdV equation with fractal derivatives is suggested, and a special function is introduced to establish a fractal variational principle. A detailed derivation is elucidated step by step by the semi-inverse method, some special cases are discussed.