Application of Differential Transform to Multi-Term Fractional Differential Equations with Non-Commensurate Orders

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F19%3APU134123" target="_blank" >RIV/00216305:26620/19:PU134123 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.mdpi.com/2073-8994/11/11/1390" target="_blank" >https://www.mdpi.com/2073-8994/11/11/1390</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/sym11111390" target="_blank" >10.3390/sym11111390</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Application of Differential Transform to Multi-Term Fractional Differential Equations with Non-Commensurate Orders

Popis výsledku v původním jazyce

The differential transformation, an approach based on Taylor’s theorem, is proposed as convenient for finding an exact or approximate solution to the initial value problem with multiple Caputo fractional derivatives of generally non-commensurate orders. The multi-term differential equation is first transformed into a multi-order system and then into a system of recurrence relations for coefficients of formal fractional power series. The order of the fractional power series is discussed in relation to orders of derivatives appearing in the original equation. Application of the algorithm to an initial value problem gives a reliable and expected outcome including the phenomenon of symmetry in choice of orders of the differential transformation of the multi-order system.

Název v anglickém jazyce

Application of Differential Transform to Multi-Term Fractional Differential Equations with Non-Commensurate Orders

Popis výsledku anglicky

The differential transformation, an approach based on Taylor’s theorem, is proposed as convenient for finding an exact or approximate solution to the initial value problem with multiple Caputo fractional derivatives of generally non-commensurate orders. The multi-term differential equation is first transformed into a multi-order system and then into a system of recurrence relations for coefficients of formal fractional power series. The order of the fractional power series is discussed in relation to orders of derivatives appearing in the original equation. Application of the algorithm to an initial value problem gives a reliable and expected outcome including the phenomenon of symmetry in choice of orders of the differential transformation of the multi-order system.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA19-23815S" target="_blank" >GA19-23815S: Identifikace nelineárních dynamických systémů zlomkového řádu</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Symmetry

ISSN

2073-8994

e-ISSN

—

Svazek periodika

11

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

10

Strana od-do

1-10

Kód UT WoS článku

000502276600065

EID výsledku v databázi Scopus

2-s2.0-85075524706