Detail publikace

Bounded solutions of fractional discrete equations of positive non-integer orders

DIBLÍK, J. BAŠTINEC, J.

Originální název

Bounded solutions of fractional discrete equations of positive non-integer orders

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

The paper considers a linear fractional discrete equation x^α x(n + 1) = λx(n) + δ(n), n = 0, 1,... where Δ^α is the fractional α-order difference, α > 0, λ ∈ R and δ: {0, 1,...} → R. A problem is considered of the existence of a solution x: {0, 1,...} → R satisfying |x(n)| < M, n = 0, 1,..., where M is a constant. This problem is also considered for an equation Δα x(n + 1) = λ(n)x(n) + δ(n, x(n), x(n − 1),..., x(0)), n = 0, 1,..., where λ: {0, 1,...} → R, δ: {0, 1,..., n} × R × R × ... × R, (n+1 times)→ R, generalizing the previous one.

Klíčová slova

discrete equation; fractional equation; bounded solution; existence of a solution.

Autoři

DIBLÍK, J.; BAŠTINEC, J.

Vydáno

6. 4. 2022

Místo

Melville (USA)

ISBN

978-0-7354-4182-8

Kniha

ICNAAM 2020 PROCEEDINGS - AIP CP Volume 2425

ISSN

0094-243X

Periodikum

AIP conference proceedings

Ročník

2245

Číslo

1

Stát

Spojené státy americké

Strany od

270003-1

Strany do

270003-4

Strany počet

4

URL