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Analysis of Nonlinear Coupled Systems of Impulsive Fractional Differential Equations with Hadamard Derivatives

Usman Riaz, Akbar Zada, Zeeshan Ali, Manzoor Ahmad, Jiafa Xu and Zhengqing Fu

Mathematical Problems in Engineering, 2019, vol. 2019, 1-20

Abstract:

This work is committed to establishing the assumptions essential for at least one and unique solution of a switched coupled system of impulsive fractional differential equations having derivative of Hadamard type. Using Krasnoselskii’s fixed point theorem, the existence, as well as uniqueness results, is obtained. Along with this, different kinds of Hyers–Ulam stability are discussed. For supporting the theory, example is provided.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5093572

DOI: 10.1155/2019/5093572

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