Functional k-Generalized Ψ-Hilfer Fractional Differential Equations in b-Metric Spaces

Krim, Salim; Salim, Abdelkrim; Abbas, Said; Benchohra, Mouffak

doi:10.28919/cpr-pajm/2-5

Research article

Functional k-Generalized Ψ-Hilfer Fractional Differential Equations in b-Metric Spaces

Salim Krim, Abdelkrim Salim, Said Abbas, Mouffak Benchohra

Abstract

This paper deals with some existence results for a class of k-generalized ψ-Hilfer implicit fractional differential equations in b-metric spaces. The results are based on the α-φ-Geraghty type contraction and the fixed point theory. We illustrate our results by an example in the last section.

How to cite

S. Krim, A. Salim, S. Abbas, M. Benchohra, Functional k-Generalized Ψ-Hilfer Fractional Differential Equations in b-Metric Spaces, Pan-Amer. J. Math. 2 (2023), 5. https://doi.org/10.28919/cpr-pajm/2-5

BibTeX

@article{Krim2023,
  author  = {Krim, Salim and Salim, Abdelkrim and Abbas, Said and Benchohra, Mouffak},
  title   = {Functional k-Generalized Ψ-Hilfer Fractional Differential Equations in b-Metric Spaces},
  journal = {Pan-Amer. J. Math.},
  volume  = {2},
  year    = {2023},
  pages   = {5},
  doi     = {10.28919/cpr-pajm/2-5}
}