Asymptotic integration of (1+α)-order fractional differential equations

We establish the long-time asymptotic formula of solutions to the (1+@a)-order fractional differential equation "0^iO"t^1^+^@ax+a(t)x=0, t>0, under some simple restrictions on the functional coefficient a(t), where "0^iO"t^1^+^@a is one of the fractional differential operators "0D"t^@a(x^'), ("0D"t^@ax)^'="0D"t^1^+^@ax and "0D"t^@a(tx^'-x). Here, "0D"t^@a designates the Riemann-Liouville derivative of order @a@?(0,1). The asymptotic formula reads as [b+O(1)]@?x"s"m"a"l"l+c@?x"l"a"r"g"e as t->+~ for given b, c@?R, where x"s"m"a"l"l and x"l"a"r"g"e represent the eventually small and eventually large solutions that generate the solution space of the fractional differential equation "0^iO"t^1^+^@ax=0, t>0.