Autors: Kiskinov, H., Madamlieva, E. B., Veselinova, M., Zahariev, A.
Title: Integral Representation of the Solutions for Neutral Linear Fractional System with Distributed Delays
Keywords: fractional derivatives; neutral fractional systems; distribu

Abstract: In the present paper, first we obtain sufficient conditions for the existence and uniqueness of the solution of the Cauchy problem for an inhomogeneous neutral linear fractional differential system with distributed delays (even in the neutral part) and Caputo type derivatives, in the case of initial functions with first kind discontinuities. This result allows to prove that the corresponding homogeneous system possesses a fundamental matrix C(t,s) continuous in t,t∈[a,∞),a∈R. As an application, integral representations of the solutions of the Cauchy problem for the considered inhomogeneous systems are obtained.

References

    Issue

    , 2021, Switzerland, DOI 10.3390/fractalfract5040222

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