Finite-time stability of Hadamard fractional differential equations in weighted Banach spaces

The main purpose of this paper is to investigate the finite-time stability Hadamard fractional differential equations (HFDEs). Firstly, standard definitions HFDEs in compatible Banach spaces are proposed. In light method successive approximation and Beesack inequality with weakly singular kernel, criteria for linear nonlinear established, respectively. Then regard pure delay, a novel delayed matrix function (also called Mittag-Leffler function) given. Specific constant time both Hölder utilized framework generalized Lipschitz condition. Finally, several indispensable simulations implemented verify effectiveness practicability results.