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Ulam–Hyers–Rassias Stability for a Class of Fractional Integro-Differential Equations

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Abstract

By means of the recent \(\psi \)-Hilfer fractional derivative and of the Banach fixed-point theorem, we investigate stabilities of Ulam–Hyers, Ulam–Hyers–Rassias and semi-Ulam–Hyers–Rassias on closed intervals [a, b] and \([a,\infty )\) for a particular class of fractional integro-differential equations.

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Authors and Affiliations

  1. Department of Applied Mathematics, Imecc-Unicamp, Campinas, SP, 13083-859, Brazil

    E. Capelas de Oliveira & J. Vanterler da C. Sousa

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  1. E. Capelas de Oliveira
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  2. J. Vanterler da C. Sousa
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Correspondence to J. Vanterler da C. Sousa.

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de Oliveira, E.C., Sousa, J.V.d.C. Ulam–Hyers–Rassias Stability for a Class of Fractional Integro-Differential Equations. Results Math 73, 111 (2018). https://doi.org/10.1007/s00025-018-0872-z

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  • DOI: https://doi.org/10.1007/s00025-018-0872-z

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