Hölder continuity of solutions for a class of fractional order stochastic heat equations

Abstract

Abstract: The Holder continuity is studied of solutions to a class of fractional stochastic heat equations driven by space-time white noises. With fractional differential operators and random noise terms in the equation, the form of the solution is defined by the characteristics of the initial value conditions and the Green’s function, the existence and Holder continuity of solutions are obtained by Picard iteration method and Kolomogorov continuity theorem. An example is given to verify the results.

Key words: fractional-order stochastic heat equation, noise, Green’s function, Hö, lder continuity

CLC Number:

O241.82

LIU Yang, WU Ke-qing, FENG Yuan. Hölder continuity of solutions for a class of fractional order stochastic heat equations[J]. Journal of Lanzhou University of Technology, 2025, 51(2): 159-165.

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