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ŠMARDA, Z.
Originální název
Laplace Adomian Decomposition Method for Solving Fractional Delay Differential Equations with Variable Coefficients
Typ
článek ve sborníku ve WoS nebo Scopus
Jazyk
angličtina
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.
Klíčová slova
Fractional delay differential equations;Adomian decompsition method; fractional Laplace transform
Autoři
Vydáno
1. 10. 2023
ISSN
0094-243X
Periodikum
AIP conference proceedings
Ročník
2841
Číslo
370009
Stát
Spojené státy americké
Strany od
1
Strany do
4
Strany počet
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" }