ON THE STABILITY AND STABILIZATION OF SOME SEMILINEAR FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES.

Autor: TIOMELA, R. G. FOKO, NOROUZI, F., N'GUÉRÉKATA, G. M., MOPHOU, G.
Předmět:
Zdroj: Fractional Differential Calculus; Dec2020, Vol. 10 Issue 2, p267-290, 24p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index