Fractional time stochastic partial differential equations
Copyright policy )Fractional time stochastic partial differential equations
In this paper, we introduce a class of stochastic partial differential equations (SPDEs) with fractional time-derivatives, and study the $L_2$-theory of the equations. This class of SPDEs can be used to describe random effects on transport of particles in medium with thermal memory or particles subject to sticking and trapping.
- University of Mary United States
- Washington State University United States
- Korea University Korea (Republic of)
- University of Washington United States
- Seoul National University Korea (Republic of)
Primary 60H15, secondary 35R60, Stochastic partial differential equations (aspects of stochastic analysis), stochastic partial differential equations, Fractional derivatives and integrals, fractional time-derivative, \(L_2\)-theory, Probability (math.PR), FOS: Mathematics, PDEs with randomness, stochastic partial differential equations, Mathematics - Probability
Primary 60H15, secondary 35R60, Stochastic partial differential equations (aspects of stochastic analysis), stochastic partial differential equations, Fractional derivatives and integrals, fractional time-derivative, \(L_2\)-theory, Probability (math.PR), FOS: Mathematics, PDEs with randomness, stochastic partial differential equations, Mathematics - Probability
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