Babakhani, Azizollah2024-07-122024-07-122009Babakhani, A. (2009). Analysis of a system of multi-term fractional differential equations with polynomial coefficients. Maltepe Üniversitesi. s. 116.9.78605E+12https://www.maltepe.edu.tr/Content/Media/CkEditor/03012019014112056-AbstractBookICMS2009Istanbul.pdf#page=331https://hdl.handle.net/20.500.12415/2249In this paper we present analysis of the system of fractional differential equations, where 0 < ?j < 1, D?j is the standard Riemann-Liouville fractional derivative and pj (t) = PNj k=0 ajkt k , j = 1, 2, · · · , n?1. Further we discuss the initial value problem for nonlinear system, where f : W(? R × Rm) ?? Rm. It is shown that for f bounded, continuous and Lipschitz in the second variable, there exists unique solutions. The dependence of solutions on initial conditions has also been discussed. Riemann-Liouville fractional derivative/integral are defined below. Let f ? C[a, b], the expression.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessConference Object117116