Existence and attractivity of solutions for fractional functional differential equations with multi R-L fractional derivatives

In this paper, under Fréchet spaces and Banach spaces, by using some fixed point theorems, an exponential norm and the axiomatic definition with property of the phase space on infinite delay, some global existence and attractivity results of solutions for a class of fractional functional differential equations with multi Riemann-Liouville fractional derivatives under several conditions are obtained, which complements some known results.