期刊论文

Ouyang, Zigen

英文

Computers & Mathematics with Applications

0898-1221

2011

61

4

860-870

10.1016/j.camwa.2010.12.034

Supported by the Natural Science Foundation of Hunan Province under Grant No. 07JJ3130 , the Doctor Foundation of University of South China under Grant No. 5-XQD-2006-9 , the Foundation of Science and Technology Department of Hunan Province under Grant No. 2009RS3019 and the Subject Lead Foundation of University of South China No. 2007XQD13 .

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A class of nonlinear fractional order partial differential equations with delay c∂αu(x,t)∂tα=a(t)▵u(x,t)+f(t,u(x,τ1(t)), &mellip;,u(x,τl(t))),t∈[0,T0] be investigated in this paper, where cDαis the standard Caputo's fractional derivative of order 0≤α≤1, and l is a positive integer number, the function f is defined as f(t,u1,&mellip;,ul):R×R×&mellip;, ×R→R, and x∈Ωis a M dimension space. Using Lebesgue dominated convergence theorem, LeraySchauder fixed point theorem and Banach contraction mapping theorem...