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

Department of Applied Mathematics and Modeling, University of Plovdiv “Paisii Hilendarski”, Plovdiv 4000, Bulgaria
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Fractal Fract 2019, 3(2), 28; https://doi.org/10.3390/fractalfract3020028
Received: 2 May 2019 / Revised: 12 May 2019 / Accepted: 14 May 2019 / Published: 18 May 2019
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. View Full-Text
Keywords: impulsive fractional differential equations; random moments of impulses; non-instantaneous impulses; Erlang distribution; p-moment exponential stability impulsive fractional differential equations; random moments of impulses; non-instantaneous impulses; Erlang distribution; p-moment exponential stability
MDPI and ACS Style

Hristova, S.; Ivanova, K. Caputo Fractional Differential Equations with Non-Instantaneous Random Erlang Distributed Impulses. Fractal Fract 2019, 3, 28.

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