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

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Thongsalee N., Laoprasittichok S., Ntouyas S. K., Tariboon J.

Open Mathematics

2015

tom 13

nr 1

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.

Ograniczanie wyników

1 Open Mathematics

1 Laoprasittichok S.

1 Ntouyas S. K.

1 Tariboon J.

1 Thongsalee N.

1 2015

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