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arXiv · 1806.08336

Stability of $ψ$-Hilfer Impulsive Fractional Differential Equations

J. Vanterler da C. Sousa·Kishor D. Kucche·E. Capelas de Oliveira
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Abstract

In this paper, we investigate the sufficient conditions for existence and uniqueness of solutions and δ-Ulam-Hyers-Rassias stability of an impulsive fractional differential equation involving $ψ$-Hilfer fractional derivative. Fixed point approach is used to obtain our main results.

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J. Vanterler da C. Sousa, Kishor D. Kucche, E. Capelas de Oliveira. 2018-06-21. Stability of $ψ$-Hilfer Impulsive Fractional Differential Equations. https://doi.org/10.1016/j.aml.2018.08.013

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