Detail publikačního výsledku

Laplace Adomian Decomposition Method for Solving Fractional Delay Differential Equations with Variable Coefficients

ŠMARDA, Z.

Originální název

Laplace Adomian Decomposition Method for Solving Fractional Delay Differential Equations with Variable Coefficients

Anglický název

Laplace Adomian Decomposition Method for Solving Fractional Delay Differential Equations with Variable Coefficients

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

In the paper, we present a numerical method for solving fractional delay differential equations with variable coefficients based on the fractional Laplace transform and series Adomian decomposition. We consider the fractional derivative in the Caputo sense. Using the proposed method we get easily solvable iterative algebraic equations for uknown coefficients of power series solutions. Numerical example is included to demonstrate the validity and applicability of this technique.

Anglický abstrakt

In the paper, we present a numerical method for solving fractional delay differential equations with variable coefficients based on the fractional Laplace transform and series Adomian decomposition. We consider the fractional derivative in the Caputo sense. Using the proposed method we get easily solvable iterative algebraic equations for uknown coefficients of power series solutions. Numerical example is included to demonstrate the validity and applicability of this technique.

Klíčová slova

Fractional delay differential equations;Adomian decompsition method; fractional Laplace transform

Klíčová slova v angličtině

Fractional delay differential equations;Adomian decompsition method; fractional Laplace transform

Autoři

ŠMARDA, Z.

Rok RIV

2024

Vydáno

01.10.2023

Kniha

Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2021 (ICNAAM-2021)

ISSN

0094-243X

Periodikum

AIP conference proceedings

Svazek

2841

Číslo

370009

Stát

Spojené státy americké

Strany od

1

Strany do

4

Strany počet

4

URL

https://doi.org/10.1063/5.0162173

BibTex

@inproceedings{BUT185393,
  author="Zdeněk {Šmarda}",
  title="Laplace Adomian Decomposition Method for Solving Fractional Delay Differential Equations with Variable Coefficients",
  booktitle="Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2021 (ICNAAM-2021)",
  year="2023",
  journal="AIP conference proceedings",
  volume="2841",
  number="370009",
  pages="1--4",
  doi="10.1063/5.0162173",
  issn="0094-243X",
  url="https://doi.org/10.1063/5.0162173"
}