SUB-DIFFUSION EQUATIONS WITH MITTAG-LEFFLER NONLINEARITY

Torebek B.T.
2023 American Institute of Mathematical Sciences

Discrete and Continuous Dynamical Systems - Series S
2023 #16 Issue 6 1669 - 1685 pp.

The paper is devoted to the study of subdiffusion equations with Mittag-Leffler nonlinearity. The comparison principle is proved in a bounded domain. The results on the local existence, global existence, and blow-up of solutions to the initial-boundary value problem are obtained. In addition, the results of local existence and blow-up of solutions to the initial problem on the whole Euclidean space are proven.

blow-up , global existence , local existence , Mittag-Leffler nonlinearity , Sub-diffusion equation

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Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematics, Ghent University, Ghent, Belgium

Institute of Mathematics and Mathematical Modeling
Department of Mathematics

10 лет помогаем публиковать статьи Международный издатель

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