Abstract
We investigate the profile of the blowing-up solutions to the nonlinear nonlocal system (FDS):
u'(t) + D-0+(alpha)(u - u(0))(t) = vertical bar v(t)vertical bar(q), t > 0,
v'(t) + D-0+(beta)(v - v(0))(t) = vertical bar u(t)vertical bar(p), t > 0,
where u(0) = u(0) > 0, v(0) = v(0) > 0, p >1, q > 1 are given constants and D-0+(alpha) and D-0+(beta) , 0 < alpha < 1, 0 < beta < 1, stand for the Riemann-Liouville fractional derivatives. Our method of proof relies on comparisons of the solution to the system (FDS) with solutions of the subsystems obtained from the system (FDS) by dropping either the usual derivatives or the fractional derivatives. (C) 2010 Elsevier Ltd. All rights reserved.