Global existence and blow-up of solutions of the time-fractional space-involution reaction-diffusion equation | Zendy

Ramiz Tapdıgoglu | Zendy; Berikbol T. Torebek | Zendy

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Global existence and blow-up of solutions of the time-fractional space-involution reaction-diffusion equation

Author(s) -

Ramiz Tapdıgoglu,

Berikbol T. Torebek

Publication year - 2020

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1909-65

Subject(s) - mathematics , bounded function , mathematical analysis , reaction–diffusion system , involution (esoterism) , space (punctuation) , domain (mathematical analysis) , linguistics , philosophy , politics , political science , law

A time-fractional space-nonlocal reaction-diffusion equation in a bounded domain is considered. First, the existence of a unique local mild solution is proved. Applying Poincare inequality it is obtained the existence and boundedness of global classical solution for small initial data. Under some conditions on the initial data, we show that solutions may experience blow-up in a finite time.

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