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A Fractal Modification Of The Pseudo-Parabolic Equation And Its Generalized Fractal Variational Principle

Author

Listed:
  • KANG-JIA WANG

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

  • SHUAI LI

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

  • PENG XU

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

  • FENG SHI

    (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.

Suggested Citation

  • Kang-Jia Wang & Shuai Li & Peng Xu & Feng Shi, 2024. "A Fractal Modification Of The Pseudo-Parabolic Equation And Its Generalized Fractal Variational Principle," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(02), pages 1-5.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:02:n:s0218348x24500373
    DOI: 10.1142/S0218348X24500373
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