On the Mittag–Leffler Stability of Impulsive Fractional Solow-Type Models
2017 ◽
Vol 18
(5)
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pp. 315-325
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Keyword(s):
AbstractIn this article, we introduce fractional-order Solow-type models as a new tool for modeling and analysis in mathematical finance. Sufficient conditions for the Mittag–Leffler stability of their states are derived. The main advantages of the proposed approach are using of fractional-order derivatives, whose nonlocal property makes the fractional calculus a suitable tool for modeling actual financial systems as well as using of impulsive perturbations which give an opportunity to control the dynamic behavior of the model. The modeling approach proposed in this article can be applied to investigate macroeconomic systems.
2015 ◽
Vol 789-790
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pp. 842-848
2013 ◽
Vol 13
(6)
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pp. 1008-1015
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Keyword(s):
2021 ◽
2020 ◽
Vol 23
(6)
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pp. 1797-1809
2020 ◽
Vol 21
(6)
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pp. 571-587
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2019 ◽
Vol 33
(29)
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pp. 1950351
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