Caputo Fractional Differential Equations with Non-Instantaneous Random Erlang Distributed Impulses

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ID: 112263
2019
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Abstract
The p-moment exponential stability of non-instantaneous impulsive Caputo fractional differential equations is studied. The impulses occur at random moments and their action continues on finite time intervals with initially given lengths. The time between two consecutive moments of impulses is the Erlang distributed random variable. The study is based on Lyapunov functions. The fractional Dini derivatives are applied.
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Authors Snezhana Hristova;Krasimira Ivanova;Hristova, Snezhana;Ivanova, Krasimira;
Journal fractal and fractional
Year 2019
DOI 10.3390/fractalfract3020028
URL
https://www.mdpi.com/2504-3110/3/2/28
Keywords
erlang distribution impulsive fractional differential equations random moments of impulses non-instantaneous impulses p-moment exponential stability

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