A FRACTAL MODIFICATION OF THE PSEUDO-PARABOLIC EQUATION AND ITS GENERALIZED FRACTAL VARIATIONAL PRINCIPLE

Author:

WANG KANG-JIA1ORCID,LI SHUAI1ORCID,XU PENG1ORCID,SHI FENG1ORCID

Affiliation:

1. School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo 454003, P. R. China

Abstract

In this work, a new fractal pseudo-parabolic equation is derived by means of He’s fractal derivative. The semi-inverse method (SIM) is employed to develop the generalized fractal variational principle (GFVP), which can reveal the energy conservation law in the fractal space and provide some new insights on the study of the variational method.

Funder

The Key Programs of Universities in Henan Province of China

Program of Henan Polytechnic University

Publisher

World Scientific Pub Co Pte Ltd

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