We establish here that under some simple restrictions on the functional coefficienta(t)the fractional differential equationD0tα[tx′−x+x(0)]+a(t)x=0, t>0, has a solution expressible asct+d+o(1)fort→+∞, whereD0tαdesignates the Riemann-Liouville derivative of orderα∈(0,1)andc,d∈ℝ.
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