Publication 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

Type

conference paper

Language

English

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.

Keywords

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

Authors

ŠMARDA, Z.

Released

1. 10. 2023

ISBN

0094-243X

Periodical

AIP conference proceedings

Year of study

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"
}