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• W2590490635 abstract "We introduce a notion of a function of finite fractional variation and characterize such functions together with their weak σ-additive fractional derivatives. Next, we use these functions to study differential equations of fractional order, containing a σ-additive term—we prove existence and uniqueness of a solution as well as derive a Cauchy formula for the solution. We apply these results to impulsive equations, i.e. equations containing the Dirac measures." @default.
• W2590490635 created "2017-03-03" @default.
• W2590490635 creator A5074916704 @default.
• W2590490635 date "2017-02-24" @default.
• W2590490635 modified "2023-10-10" @default.
• W2590490635 title "Functions of finite fractional variation and their applications to fractional impulsive equations" @default.
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• W2590490635 doi "https://doi.org/10.21136/cmj.2017.0455-15" @default.
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