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Hybrid fractional integro-differential inclusions

Sotiris K. Ntouyas; Sorasak Laoprasittichok; Jessada Tariboon — 2015

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

In this paper we study an existence result for initial value problems for hybrid fractional integro-differential inclusions. A hybrid fixed point theorem for a sum of three operators due to Dhage is used. An example illustrating the obtained result is also presented.

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

Natthaphong Thongsalee; Sorasak Laoprasittichok; Sotiris K. Ntouyas; Jessada Tariboon — 2015

Open Mathematics

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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