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

Natthaphong Thongsalee ; Sorasak Laoprasittichok ; Sotiris K. Ntouyas ; Jessada Tariboon

Open Mathematics, Tome 13 (2015), / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Détail

Publié le : 2015-01-01

Zbl 1339.34015

EUDML-ID : urn:eudml:doc:275910

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