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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access November 30, 2015

System of fractional differential equations with Erdélyi-Kober fractional integral conditions

  • Natthaphong Thongsalee , Sorasak Laoprasittichok , Sotiris K. Ntouyas and Jessada Tariboon
From the journal Open Mathematics

Abstract

In this paper we study existence and uniqueness of solutions for a system consisting from fractional differential 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 of solutions is derived by using Leray-Schauder’s alternative. Examples illustrating our results are also presented.

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Received: 2015-8-28
Accepted: 2015-11-19
Published Online: 2015-11-30

©2015 Thongsalee et al.

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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