Borikhanov, Meiirkhan B.; Torebek, Berikbol T. Local existence and global nonexistence results for an integro-differential diffusion system with nonlocal nonlinearities. (English) Zbl 1470.35072 Math. Methods Appl. Sci. 44, No. 2, 1796-1811 (2021). Summary: 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. Cited in 2 Documents MSC: 35B44 Blow-up in context of PDEs 35B33 Critical exponents in context of PDEs 35R09 Integro-partial differential equations 35R11 Fractional partial differential equations Keywords:Fujita-type critical exponents; global weak solution; integro-differential diffusion system PDFBibTeX XMLCite \textit{M. B. Borikhanov} and \textit{B. T. Torebek}, Math. Methods Appl. Sci. 44, No. 2, 1796--1811 (2021; Zbl 1470.35072) Full Text: DOI