System of fractional differential equationswith Erdélyi-Kober fractional integralconditions : Open Mathematics

摘要

In this paper we study existence and uniqueness of solutions for a system consisting from fractionaldifferential equations of Riemann-Liouville type subject to nonlocal Erdélyi-Kober fractional integral conditions.The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence ofsolutions is derived by using Leray-Schauder’s alternative. Examples illustrating our results are also presented.