Asymptotically Linear Solutions for Some Linear Fractional Differential Equations

الملخص EN

We establish here that under some simple restrictions on the functional coefficient a(t) the fractional differential equation D0tα[tx′−x+x(0)]+a(t)x=0, t>0, has a solution expressible as ct+d+o(1) for t→+∞, where D0tα designates the Riemann-Liouville derivative of order α∈(0,1) and c,d∈ℝ.