Based upon the fractal calculus on local fields, or p-type calculus, or Gibbs-Butzer calculus ([1],[2]), we suggest a constructive idea for “fractal differential equations”, beginning from some special examples to a general theory. However, this is just an original idea, it needs lots of later work to support. In [3], we show example “two dimension wave equations with fractal boundaries”, and in this note, other examples, as well as an idea to construct fractal differential equations are shown.
REFERENCES
1.
Su
Weiyi
. Construction of fractal calculus
, Science in China, Ser.A, Math.(in Chinese)
, 2015
, 45
:1
, 1587
–1598
2.
Su
Weiyi
. Harmonic Analysis and Fractal Analysis on Local Fields and Applications, Beijing
: Science Press
, 2011
3.
Ma
lintao
, Su
Weiyi
. Two dimensional wave equations with fractal boundaries
, Acta Mathematica Sinica, Eng. Series
, 2013
, 29
(12
): 2321
–2342
4.
Dexin
Lu
. University Physics, Beijing
: Higher Education Press
, 2003
[5] Triebel H. Fractals and Spectra, Basel: Birkauser Verlag, 1997
5.
Triebel
H.
Fractals and Spectra, Basel
: Birkauser Verlag
, 1997
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