International Journal of Nonlinear Analysis and Applications

On asymptotic and Hyers-Ulam stability of Hilfer fractional initial value problem involving a $(p_{1} ,p_{2},\dots, p _{n})$-Laplacian operator

Document Type : Research Paper

Author

University M'Hamed Bougara of Boumerdes, Algeria

Abstract

In this paper, we investigate the existence, asymptotic, Hyers-Ulam, and semi-Hyers-Ulam-Rassias stability results for the Hilfer fractional initial value problem involving the (p$_{1},$p$_{2}...$p$_{n}$)-Laplacian operator by using the fixed point arguments.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 2723-2742
  • Receive Date: 09 December 2021
  • Revise Date: 03 March 2022
  • Accept Date: 11 March 2022