RT Journal Article ID 7db0db7867f1e06e A1 Matichin, Ivan I. A1 Chikriy, Arkadiy A. T1 Presentation of Solutions of Linear Systems with Fractional Derivatives in the Sense of Riemann-Liouville, Caputo and Miller-Ross JF Journal of Automation and Information Sciences JO JAI(S) YR 2008 FD 2008-07-01 VO 40 IS 6 SP 1 OP 11 AB Consideration is given to inhomogeneous linear systems of differential equations with classical Riemann-Liouville fractional derivatives as well as the regularized Caputo derivative and sequential Miller-Ross fractional derivatives. Using Laplace transform the solutions of such systems are presented in terms of matrix Mittag-Leffler functions as analogues of Cauchy formula for arbitrary Lebesque measurable and bounded functions of time in the right-hand side. These relations play a key role in solving related problems of mathematical control theory and theory of dynamic games. PB Begell House LK https://www.dl.begellhouse.com/journals/2b6239406278e43e,4c9ea8481a106c5a,7db0db7867f1e06e.html