Numerical simulations for fractional variable-order equations ⁎ ⁎The work was supported by Polish founds of National Science Center, granted on the basis of decision DEC-2016/23/B/ST7/03686.
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DOI: 10.1016/j.ifacol.2018.06.122
Abstract: Abstract The objective of the paper is to present the method of fitting finding constant λ coefficient and a parameter of an order function of the processes described by variable-, fractional-order backward difference of the… read more here.
Keywords: simulations fractional; order; order equations; numerical simulations ... See more keywords
On the Fractional Variable Order Cucker–Smale Type Model
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DOI: 10.1016/j.ifacol.2018.06.184
Abstract: Abstract In the paper the Cucker-Smale type models with a fractional variable order operator are considered. The asymptotic stability of a class of linear fractional variable order discrete-time systems is used to study a consensus… read more here.
Keywords: variable order; fractional variable; cucker smale; smale type ... See more keywords
Stability of fractional variable order difference systems
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DOI: 10.1515/fca-2019-0044
Abstract: Abstract The problem of stability of the Grünwald-Letnikov-type linear fractional variable order discrete-time systems is discussed. As a definition of the Grünwald-Letnikov difference is a convolution type, the 𝓩-transform is used as an effective tool… read more here.
Keywords: variable order; difference systems; order; stability ... See more keywords
On the Solutions of a Quadratic Integral Equation of the Urysohn Type of Fractional Variable Order
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DOI: 10.3390/e24070886
Abstract: In this manuscript we introduce a quadratic integral equation of the Urysohn type of fractional variable order. The existence and uniqueness of solutions of the proposed fractional model are studied by transforming it into an… read more here.
Keywords: integral equation; fractional variable; urysohn type; variable order ... See more keywords