4.6 Article

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

期刊

NONLINEAR ANALYSIS-HYBRID SYSTEMS
卷 19, 期 -, 页码 77-92

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ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2015.08.001

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Fractional differential equations; Caputo-Hadamard fractional calculus; Multi-orders; Impulse; Existence; Fixed point theorems

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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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