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Attractivity for Differential Equations of Fractional order and ψ-Hilfer Type

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Abstract

This paper investigates the overall solution attractivity of the fractional differential equation involving the ψ-Hilfer fractional derivative and using the Krasnoselskii’s fixed point theorem. We highlight some particular cases of the results presented here, especially involving the Riemann-Liouville, thus illustrating the broad class of fractional derivatives to which these results can be applied.

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Authors and Affiliations

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

    J. Vanterler da C. Sousa

  2. Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P. O. Box 89, 22000, Sidi Bel-Abbes, Algeria

    Mouffak Benchohra

  3. NEERLab, Department of Mathematics, Morgan State University, Baltimore, MD, 21251, USA

    Gaston M. N’Guérékata

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  1. J. Vanterler da C. Sousa
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  2. Mouffak Benchohra
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  3. Gaston M. N’Guérékata
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Correspondence to Gaston M. N’Guérékata.

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Sousa, J.V.d.C., Benchohra, M. & N’Guérékata, G.M. Attractivity for Differential Equations of Fractional order and ψ-Hilfer Type. Fract Calc Appl Anal 23, 1188–1207 (2020). https://doi.org/10.1515/fca-2020-0060

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