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On Caputo-Hadamard type fractional impulsive hybrid systems with nonlinear fractional integral conditions
Journal article   Peer reviewed

On Caputo-Hadamard type fractional impulsive hybrid systems with nonlinear fractional integral conditions

Weera Yukunthorn, Bashir Ahmad, Sotiris K. Ntouyas and Jessada Tariboon
Nonlinear analysis. Hybrid systems, Vol.19, pp.77-92
01/02/2016
DOI: https://doi.org/10.1016/j.nahs.2015.08.001

Abstract

Automation & Control Systems Mathematics Mathematics, Applied Physical Sciences Science & Technology Technology
In this paper, we study the existence of solutions for an impulsive hybrid system of multi-orders Caputo-Hadamard fractional differential equations equipped with nonlinear integral boundary conditions. We make use of fixed point theorems due to Krasnoselskii-Zabreiko, Sadovski and O'Regan to establish our main results. Examples illustrating the main results are presented. (C) 2015 Elsevier Ltd. All rights reserved.

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