Autors: Madamlieva, E. B., Konstantinov, M., Petkova, M., Milev, M.
Title: Integral Representation for the Solutions of Autonomous Linear Neutral Fractional Systems with Distributed Delay
Keywords: fractional derivatives; neutral fractional systems; distribu

Abstract: The aim of this work is to obtain an integral representation formula for the solutions of initial value problems for autonomous linear fractional neutral systems with Caputo type derivatives and distributed delays. The results obtained improve and extend the corresponding results in the particular case of fractional systems with constant delays and will be a useful tool for studying different kinds of stability properties. The proposed results coincide with the corresponding ones for first order neutral linear differential systems with integer order derivatives.

References

    Issue

    , 2020, Switzerland, https://doi.org/10.3390/math8030364

    Цитирания (Citation/s):
    1. Marcos Antonio Herrera Peláez, Ricardo Abreu Blaya, Arsenio Moreno García, José María Sigarreta Almira, Integral representation formulas for higher order Dirac equations, Journal of Mathematical Analysis and Applications, Volume 515, Issue 2, 2022, 126414, ISSN 0022-247X, https://doi.org/10.1016/j.jmaa.2022.126414. - 2022 - в издания, индексирани в Scopus или Web of Science
    2. Arthi, G., Suganya, K. & Ma, YK. Controllability of higher-order fractional damped stochastic systems with distributed delay. Adv Differ Equ 2021, 475 (2021). https://doi.org/10.1186/s13662-021-03625-0 - 2021 - в издания, индексирани в Scopus или Web of Science
    3. Mosca, P. R. F. FRACTAIS, LEIS DE POTÊNCIA, CÁLCULO FRACIONÁRIO E ALÉM. 2. DESENVOLVIMENTO. - 2021 - от чужди автори в чужди издания, неиндексирани в Scopus или Web of Science

    Вид: статия в списание, публикация в издание с импакт фактор, публикация в реферирано издание, индексирана в Scopus и Web of Science