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Blow-up of smooth solutions of the time-fractional Burgers equation

Ahmed Alsaedi, Mokhtar Kirane and Berikbol Torebek (UGent)
(2020) QUAESTIONES MATHEMATICAE. 43(2). p.185-192
Author
Organization
Abstract
This paper is devoted to the problem of existence of global solutions of the time-fractional Burgers equation. For certain initial-boundary problems for the time-fractional Burgers equation, we obtain necessary conditions of existence (in other words, sufficient conditions of nonexistence) of global solutions.
Keywords
Mathematics (miscellaneous), Burgers equation, fractional derivative, blow-up of solution, non-existence of solution

Citation

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MLA
Alsaedi, Ahmed, et al. “Blow-up of Smooth Solutions of the Time-Fractional Burgers Equation.” QUAESTIONES MATHEMATICAE, vol. 43, no. 2, 2020, pp. 185–92, doi:10.2989/16073606.2018.1544596.
APA
Alsaedi, A., Kirane, M., & Torebek, B. (2020). Blow-up of smooth solutions of the time-fractional Burgers equation. QUAESTIONES MATHEMATICAE, 43(2), 185–192. https://doi.org/10.2989/16073606.2018.1544596
Chicago author-date
Alsaedi, Ahmed, Mokhtar Kirane, and Berikbol Torebek. 2020. “Blow-up of Smooth Solutions of the Time-Fractional Burgers Equation.” QUAESTIONES MATHEMATICAE 43 (2): 185–92. https://doi.org/10.2989/16073606.2018.1544596.
Chicago author-date (all authors)
Alsaedi, Ahmed, Mokhtar Kirane, and Berikbol Torebek. 2020. “Blow-up of Smooth Solutions of the Time-Fractional Burgers Equation.” QUAESTIONES MATHEMATICAE 43 (2): 185–192. doi:10.2989/16073606.2018.1544596.
Vancouver
1.
Alsaedi A, Kirane M, Torebek B. Blow-up of smooth solutions of the time-fractional Burgers equation. QUAESTIONES MATHEMATICAE. 2020;43(2):185–92.
IEEE
[1]
A. Alsaedi, M. Kirane, and B. Torebek, “Blow-up of smooth solutions of the time-fractional Burgers equation,” QUAESTIONES MATHEMATICAE, vol. 43, no. 2, pp. 185–192, 2020.
@article{8662811,
  abstract     = {{This paper is devoted to the problem of existence of global solutions of the time-fractional Burgers equation. For certain initial-boundary problems for the time-fractional Burgers equation, we obtain necessary conditions of existence (in other words, sufficient conditions of nonexistence) of global solutions.}},
  author       = {{Alsaedi, Ahmed and Kirane, Mokhtar and Torebek, Berikbol}},
  issn         = {{1607-3606}},
  journal      = {{QUAESTIONES MATHEMATICAE}},
  keywords     = {{Mathematics (miscellaneous),Burgers equation,fractional derivative,blow-up of solution,non-existence of solution}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{185--192}},
  title        = {{Blow-up of smooth solutions of the time-fractional Burgers equation}},
  url          = {{http://doi.org/10.2989/16073606.2018.1544596}},
  volume       = {{43}},
  year         = {{2020}},
}
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