Affiliation:
1. School of Applied Mathematics and Informatics Hanoi University of Science and Technology Hanoi Vietnam
2. Department of Mathematics Hanoi National University of Education Hanoi Vietnam
Abstract
In this paper, we establish global fractional Halanay‐type inequalities with distributed delays in differential and integral forms and consequently give a simple sufficient condition for Mittag–Leffler stability of solutions to fractional differential equations with this type of delays. Our essential tool is the submultiplicative property of the Mittag–Leffler functions which imitates the multiplicative property of the exponential functions in the classical theory of differential equations. The estimation with explicit decaying rate and amplitude constant is a faithful extension of the classical Halanay inequality.
Funder
National Foundation for Science and Technology Development
Subject
General Engineering,General Mathematics
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