%0 Journal Article
%T Existence of positive solutions for multi-term non-autonomous fractional differential equations with polynomial coefficients
%A Azizollah Babakhani
%A Varsha Daftardar-Gejji
%J Electronic Journal of Differential Equations
%D 2006
%I Texas State University
%X In the present paper we discuss the existence of positive solutions in the case of multi-term non-autonomous fractional differential equations with polynomial coefficients; the constant coefficient case has been studied in [2]. We consider the equation $$ Big(D^{alpha_n} -sum_{j = 1}^{n - 1} p_j(x)D^{alpha_{n - j}}Big)y = f(x, y). $$ We state various conditions on $f$ and $p_j$'s under which this equation has: positive solutions, a unique solution which is positive, and a unique solution which may not be positive.
%K Riemann-Liouville fractional derivatives and integrals
%K normal cone
%K semi-ordered Banach space
%K completely continuous operator
%K equicontinuous set.
%U http://ejde.math.txstate.edu/Volumes/2006/129/abstr.thml