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Exponential ultimate boundedness of non-autonomous fractional differential systems with time delay and impulses. (English) Zbl 1429.34082

Summary: This paper is concerned with the globally exponential ultimate boundedness of non-autonomous fractional differential systems with time delay and impulses. By establishing some non-autonomous fractional differential inequalities and using the properties of the Mittag-Leffler function, some sufficient criteria on the exponential ultimate boundedness are presented for the systems.

MSC:

34K37 Functional-differential equations with fractional derivatives
34K45 Functional-differential equations with impulses
34K12 Growth, boundedness, comparison of solutions to functional-differential equations
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