Profile of blowing-up solutions to a nonlinear system of fractional differential equations
نویسندگان
چکیده
We investigate the profile of the blowing up solutions to the nonlinear nonlocal system (FDS) u′(t) + Dα0+(u − u0)(t) = |v(t)|q, t > 0, v′(t) + Dβ0+(v − v0)(t) = |u(t)|p, t > 0, where u(0) = u0 > 0, v(0) = v0 > 0, p > 1, q > 1 are given constants and Dα0+ and Dβ0+ , 0 < α < 1, 0 < β < 1 stand for the Riemann-Liouville fractional derivatives. Our method of proof relies on comparisons of the solution to the (FDS) with solutions of the subsystems obtained from (FDS) by dropping either the usual derivatives or the fractional derivatives.
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