Akademik Məlumat İdarəetmə Sistemi
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, vol.23, no.5, 2024 (SCI-Expanded)
The focus of this paper is on addressing the initial value problem related to linear systems of fractional differential equations characterized by variable coefficients, incorporating Prabhakar fractional derivatives of Riemann-Liouville and Caputo types. Utilizing the generalized Peano-Baker series technique, the state-transition matrix is acquired. The paper presents closed form solutions for both homogeneous and inhomogeneous cases, substantiated by illustrative examples.