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Intermittency fronts for space-time fractional stochastic partial differential equations in (d+1) dimensions

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  • Asogwa, Sunday A.
  • Nane, Erkan

Abstract

We consider time fractional stochastic heat type equation ∂tβut(x)=−ν(−Δ)α/2ut(x)+It1−β[σ(u)W⋅(t,x)] in (d+1) dimensions, where ν>0, β∈(0,1), α∈(0,2], d

Suggested Citation

  • Asogwa, Sunday A. & Nane, Erkan, 2017. "Intermittency fronts for space-time fractional stochastic partial differential equations in (d+1) dimensions," Stochastic Processes and their Applications, Elsevier, vol. 127(4), pages 1354-1374.
    • Handle: RePEc:eee:spapps:v:127:y:2017:i:4:p:1354-1374
    DOI: 10.1016/j.spa.2016.08.002
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    References listed on IDEAS

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    1. Mijena, Jebessa B. & Nane, Erkan, 2015. "Space–time fractional stochastic partial differential equations," Stochastic Processes and their Applications, Elsevier, vol. 125(9), pages 3301-3326.
    2. Chen, Zhen-Qing & Kim, Kyeong-Hun & Kim, Panki, 2015. "Fractional time stochastic partial differential equations," Stochastic Processes and their Applications, Elsevier, vol. 125(4), pages 1470-1499.
    3. Meerschaert, Mark M. & Nane, Erkan & Xiao, Yimin, 2013. "Fractal dimension results for continuous time random walks," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1083-1093.
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