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Solution of Linear Fractional Systems with Variable Coefficients (1905.10632v3)
Published 25 May 2019 in math.OC
Abstract: The paper deals with the initial value problem for linear systems of FDEs with variable coefficients involving Riemann--Liouville and Caputo derivatives. The technique of the generalized Peano--Baker series is used to obtain the state-transition matrix. Explicit solutions are derived both in the homogeneous and inhomogeneous case. The theoretical results are supported by examples.
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