Stability of solutions to fractional differential equations with time-delays

Authors

  • Fatima Fenizri ENSET Skikda.
  • Assia Guezane Lakoud Badji Mokhtar Annaba University.
  • Rabah Khaldi Badji Mokhtar-Annaba University.

DOI:

https://doi.org/10.22199/issn.0717-6279-4294

Keywords:

fractional derivative, existence of solution, stability of solution, boundary value problem

Abstract

This paper deals with a fractional boundary value problem involving variable delays. Sufficient conditions for the existence of a unique solution are investigated. Moreover the stability of the unique solution is discussed. A numerical example that emphasizes the importance of the results obtained in this article is also included.

Author Biographies

Assia Guezane Lakoud, Badji Mokhtar Annaba University.

Laboratory of Advanced Materials, Faculty of Sciences.

Rabah Khaldi, Badji Mokhtar-Annaba University.

Laboratory of Advanced Materials, Faculty of Sciences.

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Published

2023-03-27

How to Cite

[1]
F. Fenizri, A. Guezane Lakoud, and R. Khaldi, “Stability of solutions to fractional differential equations with time-delays”, Proyecciones (Antofagasta, On line), vol. 42, no. 2, pp. 261-272, Mar. 2023.

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Section

Artículos