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Stability of $\psi$-Hilfer Impulsive Fractional Differential Equations

Classical Analysis and ODEs 2020-12-18 v1
Authors: 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 {\delta}-Ulam-Hyers-Rassias stability of an impulsive fractional differential equation involving ψ\psi-Hilfer fractional derivative. Fixed point approach is used to obtain our main results.

Keywords

psi-hilfer fractional derivative impulsive fractional differential equations ulam-hyers-rassias stability fixed point method

Cite

@article{arxiv.1806.08336,
  title  = {Stability of $\psi$-Hilfer Impulsive Fractional Differential Equations},
  author = {J. Vanterler da C. Sousa and Kishor D. Kucche and E. Capelas de Oliveira},
  journal= {arXiv preprint arXiv:1806.08336},
  year   = {2020}
}

Comments

9 pages

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