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arXiv · 1805.05546

On the stability of a hyperbolic fractional partial differential equation

J. Vanterler da C. Sousa·E. Capelas de OLiveira
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Abstract

In this paper, by means of the Gronwall inequality, the {\psi}-Riemann-Liouville fractional partial integral and the {\psi}-Hilfer fractional partial derivative are introduced and some of its particular cases are recovered. Using these results, we investigate the Ulam-Hyers and Ulam-Hyers-Rassias stabilities of the solutions of a fractional partial differential equation of hyperbolic type in a Banach space (B, |.|), real or complex.

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J. Vanterler da C. Sousa, E. Capelas de OLiveira. 2018-05-15. On the stability of a hyperbolic fractional partial differential equation. https://arxiv.org/abs/1805.05546

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