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Stability Analysis of Fractional Differential System with Constant Delay
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In this work, we analyze the stability of nonlinear fractional order delay differential equations of the form CD1/2x(t) = ax(t) + bx(t-1)x(t)+f(t, x(t)), where CD1/2 is a Caputo fractional derivative of order 1/2. Some numerical illustrations are provided to explain the proposed theory, by giving conditions on the non-linear term f(t, x(t)).
Keywords
Stability Analysis, Fractional Order Dynamic Systems, Delay Systems.
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