Babakhani, AzizollahDaftardar-Gejji, Varsha2021-07-202021-07-202006-10-16Babakhani, A., & Daftardar-Gejji, V. (2006). Existence of positive solutions for multi-term non-autonomous fractional differential equations with polynomial coefficients. <i>Electronic Journal of Differential Equations, 2006</i>(129), pp. 1-12.1072-6691https://hdl.handle.net/10877/14002In 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 Dαn - Σn-1j=1 pj(x)Dαn-j)y = ƒ(x, y). We state various conditions on ƒ and pj's under which this equation has: positive solutions, a unique solution which is positive, and a unique solution which may not be positive.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalRiemann-Liouville fractional derivatives and integralsNormal coneSemi-ordered Banach spaceCompletely continuous operatorEquicontinuous setArticle