分数阶广义扰动热波方程

Abstract

Abstract:

A class of generalized fractional nonlinear disturbed thermal wave equation is considered. Firstly, the arbitrary order approximate analytic solutions for the fractional generalized nonlinear disturbed thermal wave equation initial boundary value problem was constructed by using the singular perturbation method. And the uniformly valid asymptotic expansion was proofed by using the fixed point theory of the functional analysis. The physical sense of the solution was stated simply. The approximate analysis solution makes up not enough the simple numerical simulation solution.

Key words: Thermal wave, Fractional order, Singular perturbation

CLC Number:

O175.19

Cheng Ouyang,Weigang Wang,Jiaqi Mo. The Fractional Generalized Disturbed Thermal Wave Equation[J].Acta mathematica scientia,Series A, 2020, 40(2): 452-459.

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References 32

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The Fractional Generalized Disturbed Thermal Wave Equation

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