The reaction diffusion system with anomalous diffusion and a balance law , , , , is con sidered. The existence of global solutions is proved in two situations: (i) a polynomial growth condition is imposed on the reaction term when ; (ii) no growth condition is imposed on the reaction term when .
B. Ahmad. M. S. Alhothuali. H. H. Alsulami. M. Kirane. S. Timoshin. "On Nonlinear Nonlocal Systems of Reaction Diffusion Equations." Abstr. Appl. Anal. 2014 (SI62) 1 - 6, 2014. https://doi.org/10.1155/2014/804784