Year: 2022
Author: Pengyu Chen, Peng Gao
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 4 : pp. 791–807
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2022.791
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 4 : pp. 791–807
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Time-space fractional reaction-diffusion equation Nonlocal initial condition Mild solution Existence and uniqueness Mittag-Leffler-Ulam stability.