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Analytical stability bound for a class of delayed fractional-order dynamic systems. (English) Zbl 1020.34064

This paper looks at the combination of two important approaches to the generalisation of ordinary differential equations in mathematical models: namely the use of fractional orders of derivatives and the incorporation of delays. Following some review material, the authors go on to consider the vexed question of stability (known to present challenges in analysis of delay differential equations). They present an analytic stability bound and give some examples.

MSC:

34K20 Stability theory of functional-differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations
37C75 Stability theory for smooth dynamical systems
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.

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