Qualitative Analysis of Impulsive Stochastic Hilfer Fractional Differential Equation.

Autor: Khalil, Hamza, Zada, Akbar, Moussa, Sana Ben, Popa, Ioan-Lucian, Kallekh, Afef
Zdroj: Qualitative Theory of Dynamical Systems; 2024 Suppl 1, Vol. 23, p1-21, 21p
Abstrakt: This paper proves the qualitative properties like existence, uniqueness and Ulam-Hyers-Rassias stability for a solution of a nonlinear impulsive Hilfer fractional stochastic differential equation with non-instantaneous impulses. The Banach fixed point theorem and Cauchy inequality are utilized for obtaining our results. The Ulam-Hyers-Rassias stability is presented under specific assumptions. To verify the theoretical results an example is presented at the end. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index