Exact solution and Hyers-Ulam stability of a class of fractional delay differential systems
To extend the existing results of differential systems of integer order,we have considered a class of Caputo fractional linear differential systems with multiple delays.By applying the multinomial theorem for nonpermutable matrices without a commutativity assumption on the matrix coefficients,the representations of exact solutions for the studied systems were obtained.The results show that Hyers-Ulam stability in finite time holds for this class of systems.
time delay systemHyers-Ulam stabilityLaplace transformCaputo fractional derivativenonpermutable matrixexact solution
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