Skip to Main content Skip to Navigation
Journal articles

On the stability and stabilization of some semilinear fractional differential equations in Banach Spaces

Abstract : In this paper, we prove the existence and uniqueness of a mild solution to a class of semilinear fractional differential equation in an infinite Banach space with Caputo derivative order 0 < α ≤ 1. Furthermore, we establish the stability conditions and then prove that the considered initial value problem is exponentially stabilizable when the stabilizer acts linearly on the control system.
Document type :
Journal articles
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-02937262
Contributor : Gisele Mophou Loudjom Connect in order to contact the contributor
Submitted on : Wednesday, December 16, 2020 - 2:07:25 PM
Last modification on : Thursday, August 12, 2021 - 11:42:02 AM

File

Dec_11_Paper_Summer_Fractional...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02937262, version 2

Collections

Citation

R Foko Tiomela, F Norouzi, G N'Guérékata, Gisèle Mophou. On the stability and stabilization of some semilinear fractional differential equations in Banach Spaces. Fractional Differential Calculus, 2020, 10 (2), pp.267-290. ⟨hal-02937262v2⟩

Share

Metrics

Record views

182

Files downloads

114