Multi-term time-fractional diffusion equation and system: mild solutions and critical exponents

Kassymov A. Tokmagambetov N. Torebek B.
2022 Institute of Mathematics, University of Debrecen

Publicationes Mathematicae Debrecen
2022 #100 Issue 3-4 295 - 321 pp.

The paper deals with a multi-term time-fractional semi-linear diffusion equation and system. Firstly, the existence of local mild solutions to the Cauchy problems for the multi-term time-fractional diffusion equation and system are proved. Also, we obtain Fujita-type and Escobedo–Herrero-type critical exponents for the multi-term time-fractional diffusion equation and system, respectively. It is shown that the nonexistence results of solutions depend on the order of the lowest derivatives of the multi-term time-fractional diffusion equation and system.

Escobedo–Herrero-type critical exponent , fractional derivative , Fujita-type critical exponent , local existence , mild solution , multi-term equation , system of time-fractional diffusion equations

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Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Belgium
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Al-Farabi Kazakh National University, Almaty, Kazakhstan

Department of Mathematics: Analysis
Institute of Mathematics and Mathematical Modeling
Al-Farabi Kazakh National University

10 лет помогаем публиковать статьи Международный издатель

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