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Thermal Science 2024 Volume 28, Issue 3 Part A, Pages: 1975-1982
https://doi.org/10.2298/TSCI2403975Q
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Approximate analytical solution of generalized fractal equal-width wave equation

Qiao Yun (School of Economics and Management, Huanghe Jiaotong University, Wuzhi Town, Jiaozuo City, Henan Province, China), [email protected]

In this paper, a generalized equal width wave equation involving space fractal derivatives and time Caputo fractional derivatives is studied and its approximate analytical solution is presented by the Adomian decomposition method. An example shows that the method is efficient to solve fractal non-linear partial differential equations.

Keywords: generalized fractal equal width wave equation, caputo derivative, space fractal derivative, adomian decomposition method


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