Abstract

In this paper, we investigate existence of solutions and finite-time stability for a class of nonlinear Hadamard fractional differential equations with constant coefficient. By discussing continuity, integrable estimation, asymptotic property on Mittag–Leffler functions, we present existence results by using fixed point methods. Further, we obtain finite-time stability result via a generalized Gronwall inequality. Finally, examples are given to illustrate our theoretical results.

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