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

Snezhana Hristova;Krasimira Ivanova;Hristova, Snezhana;Ivanova, Krasimira;
fractal and fractional 2019 Vol. 3 pp. 28-
186
hristova2019fractalcaputo

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.

Keywords

erlang distribution impulsive fractional differential equations random moments of impulses non-instantaneous impulses p-moment exponential stability

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DOI:
10.3390/fractalfract3020028
URL:
https://www.mdpi.com/2504-3110/3/2/28

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ID: 112263
Ref Key: hristova2019fractalcaputo
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