The large deviation principle for fractional McKean-Vlasov stochastic reaction-diffusion equations was not established
Research gap analysis derived from 3 mathematics papers in our local library.
The gap
The large deviation principle for fractional McKean-Vlasov stochastic reaction-diffusion equations was not established. The well-posedness of the underlying equation under a dissipative condition was not proven.
Evidence profile
Sourced from the stated research gap of the source papers, classified as general, spanning 3 journals.
Research trend
Established — well-defined area with open sub-problems.
Supporting evidence — 3 representative gaps
- Fractional stochastic differential equations with the time-changed Brownian motion (2026) · Zeitschrift für angewandte Mathematik und Physik · doi
The existing literature has not established existence and uniqueness of solutions to fractional stochastic differential equations with time-changed Brownian motion under non-Lipschitz conditions. The paper identifies the need for time-changed Bihari-type fractional inequalities to establish the main results.
generalstated research gapKeywords: existing literature has established existence uniqueness solutions fractional - Well-Posedness and Large Deviations of Fractional McKean-Vlasov Stochastic Reaction-Diffusion Equations on Unbounded Domains (2026) · Applied Mathematics & Optimization · doi
The large deviation principle for fractional McKean-Vlasov stochastic reaction-diffusion equations was not established. The well-posedness of the underlying equation under a dissipative condition was not proven.
generalstated research gapevidence 5/5Keywords: large deviation principle fractional mckean-vlasov stochastic reaction-diffusion equations - Lyapunov exponents and growth indices for fractional stochastic heat equations with space-time Lévy white noise (2026) · Stochastic Partial Differential Equations Analysis and Computations · doi
The lack of results for fractional stochastic heat equations with space-time Lévy white noise. The need to derive bounds for the Lyapunov exponents and growth indices of exponential type on pth moments of the mild solutions.
generalstated research gapevidence 5/5Keywords: lack results fractional stochastic heat equations space-time white
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