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Article Dans Une Revue Fractional Differential Calculus Année : 2020

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

Résumé

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.
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Dates et versions

hal-02937262 , version 1 (13-09-2020)
hal-02937262 , version 2 (16-12-2020)

Identifiants

  • HAL Id : hal-02937262 , version 1

Citer

R G Foko Tiomela, F Norouzi, G M N'Guérékata, Gisèle Mophou. On the stability and stabilization of some semilinear fractional differential equations in Banach Spaces. Fractional Differential Calculus, inPress. ⟨hal-02937262v1⟩
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