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• W2918372641 abstract "It is well known that the Leibniz rule for the integer derivative of order one does not hold for the fractional derivative case when the fractional order lies between 0 and 1. Thus it poses a great difficulty in the calculation of fractional derivative of given functions as well as in the analysis of fractional order systems. In this work, we develop a few fractional differential inequalities which involve the Caputo fractional derivative of the product of continuously differentiable functions. We establish some of their properties and propose a few propositions. We show that these inequalities play a very essential role in the Lyapunov stability analysis of nonautonomous fractional order systems." @default.
• W2918372641 created "2019-03-11" @default.
• W2918372641 creator A5032849295 @default.
• W2918372641 date "2019-03-05" @default.
• W2918372641 modified "2023-09-27" @default.
• W2918372641 title "New fractional differential inequalities with their implications to the stability analysis of fractional order systems" @default.
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• W2918372641 hasPublicationYear "2019" @default.
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