Existence and attractivity results for \(\psi\)-Hilfer hybrid fractional differential equations

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DOI:

https://doi.org/10.4067/S0719-06462021000100145

Abstract

In this work, we present some results on the existence of attractive solutions of fractional differential equations of the \(\psi\)-Hilfer hybrid type. The results on the existence of solutions are a consequence of the Schauder fixed point theorem. Next, we prove that all solutions are uniformly locally attractive.

Keywords

\(\psi\)-Hilfer fractional derivate , Schauder fixed-point Theorem , uniformly locally attractive
  • Fatima Si bachir Laboratory of Mathematics and Applied Sciences, University of Ghardaia, 47000, Algeria.
  • Saïd Abbas Department of Mathematics, University of Saïda–Dr. Moulay Tahar, P.O. Box 138, EN-Nasr, 20000 Saïda, Algeria.
  • Maamar Benbachir Department of Mathematics, Saad Dahlab Blida1, University of Blida, Algeria.
  • Mouffak Benchohra Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria.
  • Gaston M. N‘Guérékata NEERLab, Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore M.D. 21252, USA.
  • Pages: 145–159
  • Date Published: 2021-04-14
  • Vol. 23 No. 1 (2021)

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Published

2021-04-14

How to Cite

[1]
F. Si bachir, S. . Abbas, M. Benbachir, M. Benchohra, and G. M. N‘Guérékata, “Existence and attractivity results for \(\psi\)-Hilfer hybrid fractional differential equations”, CUBO, vol. 23, no. 1, pp. 145–159, Apr. 2021.

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Vol. 23 No. 1 (2021)

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