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Local existence and global nonexistence results for an integro‐differential diffusion system with nonlocal nonlinearities

Meiirkhan Borikhanov (UGent) and Berikbol Torebek (UGent)
(2021) MATHEMATICAL METHODS IN THE APPLIED SCIENCES. 44(2). p.1796-1811
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Abstract
In the present paper, initial problem for the integro-differential diffusion system with nonlocal nonlinear sources is considered. The results on existence of local mild solutions and nonexistence of global weak solution to the nonlinear integro-differential diffusion system are presented.
Keywords
General Engineering, General Mathematics, blow-up, Fujita-type critical exponents, global weak solution, integro-differential diffusion system, local existence, BLOW-UP, HEAT-EQUATION

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MLA
Borikhanov, Meiirkhan, and Berikbol Torebek. “Local Existence and Global Nonexistence Results for an Integro‐differential Diffusion System with Nonlocal Nonlinearities.” MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 44, no. 2, 2021, pp. 1796–811, doi:10.1002/mma.6878.
APA
Borikhanov, M., & Torebek, B. (2021). Local existence and global nonexistence results for an integro‐differential diffusion system with nonlocal nonlinearities. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 44(2), 1796–1811. https://doi.org/10.1002/mma.6878
Chicago author-date
Borikhanov, Meiirkhan, and Berikbol Torebek. 2021. “Local Existence and Global Nonexistence Results for an Integro‐differential Diffusion System with Nonlocal Nonlinearities.” MATHEMATICAL METHODS IN THE APPLIED SCIENCES 44 (2): 1796–1811. https://doi.org/10.1002/mma.6878.
Chicago author-date (all authors)
Borikhanov, Meiirkhan, and Berikbol Torebek. 2021. “Local Existence and Global Nonexistence Results for an Integro‐differential Diffusion System with Nonlocal Nonlinearities.” MATHEMATICAL METHODS IN THE APPLIED SCIENCES 44 (2): 1796–1811. doi:10.1002/mma.6878.
Vancouver
1.
Borikhanov M, Torebek B. Local existence and global nonexistence results for an integro‐differential diffusion system with nonlocal nonlinearities. MATHEMATICAL METHODS IN THE APPLIED SCIENCES. 2021;44(2):1796–811.
IEEE
[1]
M. Borikhanov and B. Torebek, “Local existence and global nonexistence results for an integro‐differential diffusion system with nonlocal nonlinearities,” MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 44, no. 2, pp. 1796–1811, 2021.
@article{8713844,
  abstract     = {{In the present paper, initial problem for the integro-differential diffusion system with nonlocal nonlinear sources is considered. The results on existence of local mild solutions and nonexistence of global weak solution to the nonlinear integro-differential diffusion system are presented.}},
  author       = {{Borikhanov, Meiirkhan and Torebek, Berikbol}},
  issn         = {{0170-4214}},
  journal      = {{MATHEMATICAL METHODS IN THE APPLIED SCIENCES}},
  keywords     = {{General Engineering,General Mathematics,blow-up,Fujita-type critical exponents,global weak solution,integro-differential diffusion system,local existence,BLOW-UP,HEAT-EQUATION}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{1796--1811}},
  title        = {{Local existence and global nonexistence results for an integro‐differential diffusion system with nonlocal nonlinearities}},
  url          = {{http://doi.org/10.1002/mma.6878}},
  volume       = {{44}},
  year         = {{2021}},
}
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