ANewRobust Approach for Uniform Stability of Caputo Fractional Dynamic Equations on Time Scales
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In this work, we develop a new robust approach for uniform stability of Caputo fractional dynamic equations on time scales suitable for hybrid systems. Our approach integrates both continuous and discrete temporal domains, accommodating systems with mixed dynamic behaviors. We have given illustrative examples to demonstrate the effectiveness of the proposed method, marking an advancement in uniform stability theory for fractional dynamic systems on time scales.
Abstract
In this work, we develop a new robust approach for uniform stability of Caputo fractional dynamic equations on time scales suitable for hybrid systems. Our approach integrates both continuous and discrete temporal domains, accommodating systems with mixed dynamic behaviors. We have given illustrative examples to demonstrate the effectiveness of the proposed method, marking an advancement in uniform stability theory for fractional dynamic systems on time scales.