摘要
Theauthorsstudyaporousmediumequationwitharight-handside.TheoperatorhasnonlocaldiffusioneffectsgivenbyaninversefractionalLaplacianoperator.ThederivativeintimeisalsofractionalandisofCaputo-type,whichtakesintoaccount'memory'.TheprecisemodelisD_t~αu-div(u(-Δ)~(-σ)u)=f,0<σ<1/2.Thispaperposestheproblemover{t∈R~+,x∈R~n}withnonnegativeinitialdatau(0,x)≥0aswellastheright-handsidef≥0.Theexistenceforweaksolutionswhenf,u(0,x)haveexponentialdecayatinfinityisproved.ThemainresultisH¨oldercontinuityforsuchweaksolutions.
出版日期
2017年01月11日（中国期刊网平台首次上网日期，不代表论文的发表时间）
