Publication result detail

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

ŠMARDA, Z.

Original Title

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

English Title

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

Type

Paper in proceedings (conference paper)

Original Abstract

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.

English abstract

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.

Keywords

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

Key words in English

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

Authors

ŠMARDA, Z.

RIV year

2024

Released

01.10.2023

Book

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

ISBN

0094-243X

Periodical

AIP conference proceedings

Volume

2841

Number

370009

State

United States of America

Pages from

1

Pages to

4

Pages count

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"
}