Functions of finite fractional variation and their applications to fractional impulsive equations

Title:

Functions of finite fractional variation and their applications to fractional impulsive equations

Creator:

Idczak, Dariusz

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:6960fd0a-997f-4982-aea7-cfa2d4161e8a
uuid:6960fd0a-997f-4982-aea7-cfa2d4161e8a
issn:0011-4642

Subject:

matematika, mathematics, konečná frakční změna, deriváty, Cauchyův vzorec, finite fractional variation, weak σ-additive fractional, derivatives, fractional impulsive equation, Dirac measure, Cauchy formula, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

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., Dariusz Idczak., and Obsahuje bibliografii

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

171-195

Source:

Czechoslovak Mathematical Journal | 2017 Volume:67 | Number:1

Harvested from:

CDK

Metadata only:

false