The possible orders of growth of solutions to linear fractional differential equations with polynomial coefficients

Abstract

In this paper, we study the possible orders of growth of solutions to certain class of linear fractional differential equations with polynomialcoefficients. For that, we use the Nevanlinna theory in complex domain, the generalized Wiman-Valiron theorem in the fractional calculus and the Caputofractional derivatives. Several illustrative examples are given.