@article{Li2023, 
author = {Yaning Li and Yuting Yang},
title = {The critical exponents for a semilinear fractional pseudo-parabolic equation with nonlinear memory in a bounded domain},
year = {2023},
journal = {Electronic Research Archive},
volume = {31},
number = {5},
pages = {2555-2567},
keywords = {fractional pseudo-parabolic equation, critical exponent, global existence, blow-up},
url = {https://www.sciopen.com/article/10.3934/era.2023129},
doi = {10.3934/era.2023129},
abstract = {This paper considers blow-up and global existence for a semilinear space-time fractional pseudo-parabolic equation with nonlinear memory in a bounded domain. We determine the critical exponents of the Cauchy problem when    α  <  γ and    α  ≥  γ  , respectively. The results obtained in this study are noteworthy extension to the results of time-fractional differential equation. The critical exponent is consistent with the corresponding Cauchy problem for the time-fractional differential equation with nonlinear memory, which illustrates that the diffusion effect of the third order term is not strong enough to change the critical exponents.}
}