On attractivity of solutions of fractional differential equations

Autores

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

DOI:

https://doi.org/10.5540/03.2021.008.01.0455

Palavras-chave:

Fractional differential equations, ψHilfer fractional derivative, attractivity, measure noncompactness.

Resumo

In this work, we investigate the existence of a class of globally attractive solutions of the Cauchy fractional problem with the ψHilfer fractional derivative using the measure of noncompactness.

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Biografia do Autor

J. Vanterler da C. Sousa

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

E. Capelas de Oliveira

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

Referências

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Gu, H. and Trujillo, J. J., Existence of mild solution for evolution equation with Hilfer fractional derivative, Appl. Math. Comput., 257 (2015) 344-354.

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Sousa, J. Vanterler da C. and Oliveira, E. Capelas de, Ulam-Hyers stability of a non­linear fractional Volterra integro-differential equation, Appl. Math. Lett., 81 (2018) 50-56.

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Sousa, J Vanterler da C. and Oliveira, E. Capelas de, Leibniz type rule: ψHilfer fractional operator, Commun. Nonlinear Sei. Numer. SimuL, 77 (2019) 305-311.

Sousa, J Vanterler da C. and O’Regan, D. and Oliveira, E. Capelas de, On attractivity for ψHilfer fractional differential equations systems, Acta Applicandae Mathemati- cae, (Submitted) (2020).

Zhou, Y., Attractivity for fractional differential equations in Banach space, Appl. Math. Lett., 75 (2018) 1-6.

Zhou, Y., Basic Theory of Fractional Differential Equations World Scientific Publish- ing Company, Singapore, New Jersey, London and Hong Kong (2014).

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Publicado

2021-12-20

Edição

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