@Article{JNMA-4-791,
author = {Chen , Pengyu and Gao , Peng},
title = {On Time-Space Fractional Reaction-Diffusion Equations with Nonlocal Initial Conditions},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2023},
volume = {4},
number = {4},
pages = {791--807},
abstract = {<p style="text-align: justify;">This paper investigates the nonlinear time-space fractional reaction-diffusion equations with nonlocal initial conditions. Based on the operator
semigroup theory, we transform the time-space fractional reaction-diffusion equation into an abstract evolution equation. The existence and uniqueness of
mild solution to the reaction-diffusion equation are obtained by solving the
abstract evolution equation. Finally, we verify the Mittag-Leffler-Ulam stabilities of the nonlinear time-space fractional reaction-diffusion equations with
nonlocal initial conditions. The results in this paper improve and extend some
related conclusions to this topic.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2022.791},
url = {http://global-sci.org/intro/article_detail/jnma/21913.html}
}